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Finding the Fourth Proportional to 138,327.84, 207,506.88 and 49,569.12

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Solution

The fourth proportional to 138,327.84, 207,506.88 and 49,569.12 is: 74,359.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,327.84 : 207,506.88 = 49,569.12 : x
  2. Step 2: Convert to fraction form
    138,327.84/207,506.88 = 49,569.12/x
  3. Step 3: Cross multiply
    138,327.84x = 207,506.88 × 49,569.12
  4. Step 4: Simplify right side
    138,327.84x = 10,285,933,435.55
  5. Step 5: Solve for x
    x = 10,285,933,435.55/138,327.84
  6. Step 6: Final answer
    x = 74,359.10

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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.