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Finding the Fourth Proportional to 142,854.30, 197,151.84 and 82,434.78

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Solution

The fourth proportional to 142,854.30, 197,151.84 and 82,434.78 is: 113,767.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,854.30 : 197,151.84 = 82,434.78 : x
  2. Step 2: Convert to fraction form
    142,854.30/197,151.84 = 82,434.78/x
  3. Step 3: Cross multiply
    142,854.30x = 197,151.84 × 82,434.78
  4. Step 4: Simplify right side
    142,854.30x = 16,252,168,557.00
  5. Step 5: Solve for x
    x = 16,252,168,557.00/142,854.30
  6. Step 6: Final answer
    x = 113,767.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.