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Finding the Fourth Proportional to 123,002, 184,515.96 and 56,430.80

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Solution

The fourth proportional to 123,002, 184,515.96 and 56,430.80 is: 84,652.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,002 : 184,515.96 = 56,430.80 : x
  2. Step 2: Convert to fraction form
    123,002/184,515.96 = 56,430.80/x
  3. Step 3: Cross multiply
    123,002x = 184,515.96 × 56,430.80
  4. Step 4: Simplify right side
    123,002x = 10,412,383,235.57
  5. Step 5: Solve for x
    x = 10,412,383,235.57/123,002
  6. Step 6: Final answer
    x = 84,652.15

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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.