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Finding the Fourth Proportional to 100,129.82, 138,179.36 and 54,810.70

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Solution

The fourth proportional to 100,129.82, 138,179.36 and 54,810.70 is: 75,638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,129.82 : 138,179.36 = 54,810.70 : x
  2. Step 2: Convert to fraction form
    100,129.82/138,179.36 = 54,810.70/x
  3. Step 3: Cross multiply
    100,129.82x = 138,179.36 × 54,810.70
  4. Step 4: Simplify right side
    100,129.82x = 7,573,706,930.42
  5. Step 5: Solve for x
    x = 7,573,706,930.42/100,129.82
  6. Step 6: Final answer
    x = 75,638.87

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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.