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Finding the Fourth Proportional to 282,195.60, 423,288.75 and 113,711.82

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Solution

The fourth proportional to 282,195.60, 423,288.75 and 113,711.82 is: 170,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,195.60 : 423,288.75 = 113,711.82 : x
  2. Step 2: Convert to fraction form
    282,195.60/423,288.75 = 113,711.82/x
  3. Step 3: Cross multiply
    282,195.60x = 423,288.75 × 113,711.82
  4. Step 4: Simplify right side
    282,195.60x = 48,132,934,148.03
  5. Step 5: Solve for x
    x = 48,132,934,148.03/282,195.60
  6. Step 6: Final answer
    x = 170,565.86

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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.