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Finding the Fourth Proportional to 123,902.02, 185,787.14 and 49,019.14

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Solution

The fourth proportional to 123,902.02, 185,787.14 and 49,019.14 is: 73,502.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,902.02 : 185,787.14 = 49,019.14 : x
  2. Step 2: Convert to fraction form
    123,902.02/185,787.14 = 49,019.14/x
  3. Step 3: Cross multiply
    123,902.02x = 185,787.14 × 49,019.14
  4. Step 4: Simplify right side
    123,902.02x = 9,107,125,825.86
  5. Step 5: Solve for x
    x = 9,107,125,825.86/123,902.02
  6. Step 6: Final answer
    x = 73,502.64

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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.