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Finding the Fourth Proportional to 142,476.87, 196,627.86 and 82,063.47

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Solution

The fourth proportional to 142,476.87, 196,627.86 and 82,063.47 is: 113,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,476.87 : 196,627.86 = 82,063.47 : x
  2. Step 2: Convert to fraction form
    142,476.87/196,627.86 = 82,063.47/x
  3. Step 3: Cross multiply
    142,476.87x = 196,627.86 × 82,063.47
  4. Step 4: Simplify right side
    142,476.87x = 16,135,964,490.27
  5. Step 5: Solve for x
    x = 16,135,964,490.27/142,476.87
  6. Step 6: Final answer
    x = 113,253.22

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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.