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Finding the Fourth Proportional to 208,285.20, 312,363.14 and 75,148.11

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Solution

The fourth proportional to 208,285.20, 312,363.14 and 75,148.11 is: 112,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,285.20 : 312,363.14 = 75,148.11 : x
  2. Step 2: Convert to fraction form
    208,285.20/312,363.14 = 75,148.11/x
  3. Step 3: Cross multiply
    208,285.20x = 312,363.14 × 75,148.11
  4. Step 4: Simplify right side
    208,285.20x = 23,473,499,228.92
  5. Step 5: Solve for x
    x = 23,473,499,228.92/208,285.20
  6. Step 6: Final answer
    x = 112,698.83

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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.