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Finding the Fourth Proportional to 142,591.32, 196,566.41 and 108,540.47

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Solution

The fourth proportional to 142,591.32, 196,566.41 and 108,540.47 is: 149,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,591.32 : 196,566.41 = 108,540.47 : x
  2. Step 2: Convert to fraction form
    142,591.32/196,566.41 = 108,540.47/x
  3. Step 3: Cross multiply
    142,591.32x = 196,566.41 × 108,540.47
  4. Step 4: Simplify right side
    142,591.32x = 21,335,411,290.38
  5. Step 5: Solve for x
    x = 21,335,411,290.38/142,591.32
  6. Step 6: Final answer
    x = 149,626.30

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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.