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Finding the Fourth Proportional to 142,383.68, 196,472.16 and 78,712.64

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Solution

The fourth proportional to 142,383.68, 196,472.16 and 78,712.64 is: 108,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,383.68 : 196,472.16 = 78,712.64 : x
  2. Step 2: Convert to fraction form
    142,383.68/196,472.16 = 78,712.64/x
  3. Step 3: Cross multiply
    142,383.68x = 196,472.16 × 78,712.64
  4. Step 4: Simplify right side
    142,383.68x = 15,464,842,400.10
  5. Step 5: Solve for x
    x = 15,464,842,400.10/142,383.68
  6. Step 6: Final answer
    x = 108,613.87

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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.