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Finding the Fourth Proportional to 138,872.61, 191,644.02 and 75,210.66

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Solution

The fourth proportional to 138,872.61, 191,644.02 and 75,210.66 is: 103,790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,872.61 : 191,644.02 = 75,210.66 : x
  2. Step 2: Convert to fraction form
    138,872.61/191,644.02 = 75,210.66/x
  3. Step 3: Cross multiply
    138,872.61x = 191,644.02 × 75,210.66
  4. Step 4: Simplify right side
    138,872.61x = 14,413,673,229.25
  5. Step 5: Solve for x
    x = 14,413,673,229.25/138,872.61
  6. Step 6: Final answer
    x = 103,790.61

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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.