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Finding the Fourth Proportional to 99,666.38, 137,427.87 and 81,460.62

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Solution

The fourth proportional to 99,666.38, 137,427.87 and 81,460.62 is: 112,324.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,666.38 : 137,427.87 = 81,460.62 : x
  2. Step 2: Convert to fraction form
    99,666.38/137,427.87 = 81,460.62/x
  3. Step 3: Cross multiply
    99,666.38x = 137,427.87 × 81,460.62
  4. Step 4: Simplify right side
    99,666.38x = 11,194,959,800.96
  5. Step 5: Solve for x
    x = 11,194,959,800.96/99,666.38
  6. Step 6: Final answer
    x = 112,324.33

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Why These Related Problems?

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