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Finding the Fourth Proportional to 138,644.48, 207,984 and 45,125.12

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Solution

The fourth proportional to 138,644.48, 207,984 and 45,125.12 is: 67,693.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,644.48 : 207,984 = 45,125.12 : x
  2. Step 2: Convert to fraction form
    138,644.48/207,984 = 45,125.12/x
  3. Step 3: Cross multiply
    138,644.48x = 207,984 × 45,125.12
  4. Step 4: Simplify right side
    138,644.48x = 9,385,302,958.08
  5. Step 5: Solve for x
    x = 9,385,302,958.08/138,644.48
  6. Step 6: Final answer
    x = 67,693.30

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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.