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Finding the Fourth Proportional to 138,660.78, 208,035.69 and 96,145.50

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Solution

The fourth proportional to 138,660.78, 208,035.69 and 96,145.50 is: 144,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,660.78 : 208,035.69 = 96,145.50 : x
  2. Step 2: Convert to fraction form
    138,660.78/208,035.69 = 96,145.50/x
  3. Step 3: Cross multiply
    138,660.78x = 208,035.69 × 96,145.50
  4. Step 4: Simplify right side
    138,660.78x = 20,001,695,432.90
  5. Step 5: Solve for x
    x = 20,001,695,432.90/138,660.78
  6. Step 6: Final answer
    x = 144,249.12

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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.