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Finding the Fourth Proportional to 142,843.32, 197,125.80 and 78,318.64

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Solution

The fourth proportional to 142,843.32, 197,125.80 and 78,318.64 is: 108,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,843.32 : 197,125.80 = 78,318.64 : x
  2. Step 2: Convert to fraction form
    142,843.32/197,125.80 = 78,318.64/x
  3. Step 3: Cross multiply
    142,843.32x = 197,125.80 × 78,318.64
  4. Step 4: Simplify right side
    142,843.32x = 15,438,624,564.91
  5. Step 5: Solve for x
    x = 15,438,624,564.91/142,843.32
  6. Step 6: Final answer
    x = 108,080.83

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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.