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Finding the Fourth Proportional to 184,024,288.80, 275,801,986.80 and 97,804,000.80

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Solution

The fourth proportional to 184,024,288.80, 275,801,986.80 and 97,804,000.80 is: 146,581,399.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,024,288.80 : 275,801,986.80 = 97,804,000.80 : x
  2. Step 2: Convert to fraction form
    184,024,288.80/275,801,986.80 = 97,804,000.80/x
  3. Step 3: Cross multiply
    184,024,288.80x = 275,801,986.80 × 97,804,000.80
  4. Step 4: Simplify right side
    184,024,288.80x = 26,974,537,737,628,788
  5. Step 5: Solve for x
    x = 26,974,537,737,628,788/184,024,288.80
  6. Step 6: Final answer
    x = 146,581,399.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.