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Finding the Fourth Proportional to 138,805.60, 191,549.44 and 75,142.84

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Solution

The fourth proportional to 138,805.60, 191,549.44 and 75,142.84 is: 103,695.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,805.60 : 191,549.44 = 75,142.84 : x
  2. Step 2: Convert to fraction form
    138,805.60/191,549.44 = 75,142.84/x
  3. Step 3: Cross multiply
    138,805.60x = 191,549.44 × 75,142.84
  4. Step 4: Simplify right side
    138,805.60x = 14,393,568,922.01
  5. Step 5: Solve for x
    x = 14,393,568,922.01/138,805.60
  6. Step 6: Final answer
    x = 103,695.88

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1.5x scale

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.