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Finding the Fourth Proportional to 142,380.68, 196,468.02 and 78,709.64

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Solution

The fourth proportional to 142,380.68, 196,468.02 and 78,709.64 is: 108,609.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,380.68 : 196,468.02 = 78,709.64 : x
  2. Step 2: Convert to fraction form
    142,380.68/196,468.02 = 78,709.64/x
  3. Step 3: Cross multiply
    142,380.68x = 196,468.02 × 78,709.64
  4. Step 4: Simplify right side
    142,380.68x = 15,463,927,125.71
  5. Step 5: Solve for x
    x = 15,463,927,125.71/142,380.68
  6. Step 6: Final answer
    x = 108,609.73

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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.