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Finding the Fourth Proportional to 100,452.76, 138,643.92 and 66,461.92

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Solution

The fourth proportional to 100,452.76, 138,643.92 and 66,461.92 is: 91,730.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,452.76 : 138,643.92 = 66,461.92 : x
  2. Step 2: Convert to fraction form
    100,452.76/138,643.92 = 66,461.92/x
  3. Step 3: Cross multiply
    100,452.76x = 138,643.92 × 66,461.92
  4. Step 4: Simplify right side
    100,452.76x = 9,214,541,119.53
  5. Step 5: Solve for x
    x = 9,214,541,119.53/100,452.76
  6. Step 6: Final answer
    x = 91,730.09

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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.