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Finding the Fourth Proportional to 123,046.20, 184,569.30 and 69,902.10

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Solution

The fourth proportional to 123,046.20, 184,569.30 and 69,902.10 is: 104,853.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,046.20 : 184,569.30 = 69,902.10 : x
  2. Step 2: Convert to fraction form
    123,046.20/184,569.30 = 69,902.10/x
  3. Step 3: Cross multiply
    123,046.20x = 184,569.30 × 69,902.10
  4. Step 4: Simplify right side
    123,046.20x = 12,901,781,665.53
  5. Step 5: Solve for x
    x = 12,901,781,665.53/123,046.20
  6. Step 6: Final answer
    x = 104,853.15

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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.