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Finding the Fourth Proportional to 100,372.50, 138,514.05 and 55,660.50

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Solution

The fourth proportional to 100,372.50, 138,514.05 and 55,660.50 is: 76,811.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,372.50 : 138,514.05 = 55,660.50 : x
  2. Step 2: Convert to fraction form
    100,372.50/138,514.05 = 55,660.50/x
  3. Step 3: Cross multiply
    100,372.50x = 138,514.05 × 55,660.50
  4. Step 4: Simplify right side
    100,372.50x = 7,709,761,280.03
  5. Step 5: Solve for x
    x = 7,709,761,280.03/100,372.50
  6. Step 6: Final answer
    x = 76,811.49

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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.