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Finding the Fourth Proportional to 138,932, 208,403.76 and 40,436

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Solution

The fourth proportional to 138,932, 208,403.76 and 40,436 is: 60,655.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,932 : 208,403.76 = 40,436 : x
  2. Step 2: Convert to fraction form
    138,932/208,403.76 = 40,436/x
  3. Step 3: Cross multiply
    138,932x = 208,403.76 × 40,436
  4. Step 4: Simplify right side
    138,932x = 8,427,014,439.36
  5. Step 5: Solve for x
    x = 8,427,014,439.36/138,932
  6. Step 6: Final answer
    x = 60,655.68

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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.