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Finding the Fourth Proportional to 100,683.50, 138,946.24 and 55,359.14

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Solution

The fourth proportional to 100,683.50, 138,946.24 and 55,359.14 is: 76,397.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,683.50 : 138,946.24 = 55,359.14 : x
  2. Step 2: Convert to fraction form
    100,683.50/138,946.24 = 55,359.14/x
  3. Step 3: Cross multiply
    100,683.50x = 138,946.24 × 55,359.14
  4. Step 4: Simplify right side
    100,683.50x = 7,691,944,352.63
  5. Step 5: Solve for x
    x = 7,691,944,352.63/100,683.50
  6. Step 6: Final answer
    x = 76,397.27

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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.