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Finding the Fourth Proportional to 123,098.80, 184,648.20 and 87,962.80

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Solution

The fourth proportional to 123,098.80, 184,648.20 and 87,962.80 is: 131,944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,098.80 : 184,648.20 = 87,962.80 : x
  2. Step 2: Convert to fraction form
    123,098.80/184,648.20 = 87,962.80/x
  3. Step 3: Cross multiply
    123,098.80x = 184,648.20 × 87,962.80
  4. Step 4: Simplify right side
    123,098.80x = 16,242,172,686.96
  5. Step 5: Solve for x
    x = 16,242,172,686.96/123,098.80
  6. Step 6: Final answer
    x = 131,944.20

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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.