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Finding the Fourth Proportional to 129,740.20, 194,595.90 and 106,325.80

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Solution

The fourth proportional to 129,740.20, 194,595.90 and 106,325.80 is: 159,476.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,740.20 : 194,595.90 = 106,325.80 : x
  2. Step 2: Convert to fraction form
    129,740.20/194,595.90 = 106,325.80/x
  3. Step 3: Cross multiply
    129,740.20x = 194,595.90 × 106,325.80
  4. Step 4: Simplify right side
    129,740.20x = 20,690,564,744.22
  5. Step 5: Solve for x
    x = 20,690,564,744.22/129,740.20
  6. Step 6: Final answer
    x = 159,476.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.