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Finding the Fourth Proportional to 138,153.30, 207,241.65 and 38,313.48

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Solution

The fourth proportional to 138,153.30, 207,241.65 and 38,313.48 is: 57,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,153.30 : 207,241.65 = 38,313.48 : x
  2. Step 2: Convert to fraction form
    138,153.30/207,241.65 = 38,313.48/x
  3. Step 3: Cross multiply
    138,153.30x = 207,241.65 × 38,313.48
  4. Step 4: Simplify right side
    138,153.30x = 7,940,148,812.44
  5. Step 5: Solve for x
    x = 7,940,148,812.44/138,153.30
  6. Step 6: Final answer
    x = 57,473.46

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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.