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Finding the Fourth Proportional to 100,213.39, 138,290.42 and 59,949.40

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Solution

The fourth proportional to 100,213.39, 138,290.42 and 59,949.40 is: 82,727.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,213.39 : 138,290.42 = 59,949.40 : x
  2. Step 2: Convert to fraction form
    100,213.39/138,290.42 = 59,949.40/x
  3. Step 3: Cross multiply
    100,213.39x = 138,290.42 × 59,949.40
  4. Step 4: Simplify right side
    100,213.39x = 8,290,427,430.97
  5. Step 5: Solve for x
    x = 8,290,427,430.97/100,213.39
  6. Step 6: Final answer
    x = 82,727.75

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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.