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Finding the Fourth Proportional to 142,384.68, 196,473.54 and 78,713.64

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Solution

The fourth proportional to 142,384.68, 196,473.54 and 78,713.64 is: 108,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,384.68 : 196,473.54 = 78,713.64 : x
  2. Step 2: Convert to fraction form
    142,384.68/196,473.54 = 78,713.64/x
  3. Step 3: Cross multiply
    142,384.68x = 196,473.54 × 78,713.64
  4. Step 4: Simplify right side
    142,384.68x = 15,465,147,497.09
  5. Step 5: Solve for x
    x = 15,465,147,497.09/142,384.68
  6. Step 6: Final answer
    x = 108,615.25

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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.