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Finding the Fourth Proportional to 138,715.49, 207,985.76 and 76,429.73

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Solution

The fourth proportional to 138,715.49, 207,985.76 and 76,429.73 is: 114,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,715.49 : 207,985.76 = 76,429.73 : x
  2. Step 2: Convert to fraction form
    138,715.49/207,985.76 = 76,429.73/x
  3. Step 3: Cross multiply
    138,715.49x = 207,985.76 × 76,429.73
  4. Step 4: Simplify right side
    138,715.49x = 15,896,295,098.50
  5. Step 5: Solve for x
    x = 15,896,295,098.50/138,715.49
  6. Step 6: Final answer
    x = 114,596.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.