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Finding the Fourth Proportional to 138,737.47, 191,466.38 and 78,318.35

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Solution

The fourth proportional to 138,737.47, 191,466.38 and 78,318.35 is: 108,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,737.47 : 191,466.38 = 78,318.35 : x
  2. Step 2: Convert to fraction form
    138,737.47/191,466.38 = 78,318.35/x
  3. Step 3: Cross multiply
    138,737.47x = 191,466.38 × 78,318.35
  4. Step 4: Simplify right side
    138,737.47x = 14,995,331,053.16
  5. Step 5: Solve for x
    x = 14,995,331,053.16/138,737.47
  6. Step 6: Final answer
    x = 108,084.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.