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Finding the Fourth Proportional to 100,049.31, 137,932.94 and 64,177.04

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Solution

The fourth proportional to 100,049.31, 137,932.94 and 64,177.04 is: 88,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,049.31 : 137,932.94 = 64,177.04 : x
  2. Step 2: Convert to fraction form
    100,049.31/137,932.94 = 64,177.04/x
  3. Step 3: Cross multiply
    100,049.31x = 137,932.94 × 64,177.04
  4. Step 4: Simplify right side
    100,049.31x = 8,852,128,312.97
  5. Step 5: Solve for x
    x = 8,852,128,312.97/100,049.31
  6. Step 6: Final answer
    x = 88,477.65

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