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Finding the Fourth Proportional to 138,154.84, 207,232.30 and 38,340.16

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Solution

The fourth proportional to 138,154.84, 207,232.30 and 38,340.16 is: 57,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,154.84 : 207,232.30 = 38,340.16 : x
  2. Step 2: Convert to fraction form
    138,154.84/207,232.30 = 38,340.16/x
  3. Step 3: Cross multiply
    138,154.84x = 207,232.30 × 38,340.16
  4. Step 4: Simplify right side
    138,154.84x = 7,945,319,539.17
  5. Step 5: Solve for x
    x = 7,945,319,539.17/138,154.84
  6. Step 6: Final answer
    x = 57,510.25

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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.