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Finding the Fourth Proportional to 280,245.27, 420,356.14 and 130,434.03

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Solution

The fourth proportional to 280,245.27, 420,356.14 and 130,434.03 is: 195,645.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,245.27 : 420,356.14 = 130,434.03 : x
  2. Step 2: Convert to fraction form
    280,245.27/420,356.14 = 130,434.03/x
  3. Step 3: Cross multiply
    280,245.27x = 420,356.14 × 130,434.03
  4. Step 4: Simplify right side
    280,245.27x = 54,828,744,723.27
  5. Step 5: Solve for x
    x = 54,828,744,723.27/280,245.27
  6. Step 6: Final answer
    x = 195,645.57

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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.