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Finding the Fourth Proportional to 138,957.76, 191,761.43 and 75,295.41

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Solution

The fourth proportional to 138,957.76, 191,761.43 and 75,295.41 is: 103,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,957.76 : 191,761.43 = 75,295.41 : x
  2. Step 2: Convert to fraction form
    138,957.76/191,761.43 = 75,295.41/x
  3. Step 3: Cross multiply
    138,957.76x = 191,761.43 × 75,295.41
  4. Step 4: Simplify right side
    138,957.76x = 14,438,754,398.45
  5. Step 5: Solve for x
    x = 14,438,754,398.45/138,957.76
  6. Step 6: Final answer
    x = 103,907.51

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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.