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Finding the Fourth Proportional to 100,154.31, 138,212.97 and 54,835.17

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Solution

The fourth proportional to 100,154.31, 138,212.97 and 54,835.17 is: 75,672.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,154.31 : 138,212.97 = 54,835.17 : x
  2. Step 2: Convert to fraction form
    100,154.31/138,212.97 = 54,835.17/x
  3. Step 3: Cross multiply
    100,154.31x = 138,212.97 × 54,835.17
  4. Step 4: Simplify right side
    100,154.31x = 7,578,931,706.15
  5. Step 5: Solve for x
    x = 7,578,931,706.15/100,154.31
  6. Step 6: Final answer
    x = 75,672.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.