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Finding the Fourth Proportional to 135,875.69, 203,616.70 and 76,585.20

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Solution

The fourth proportional to 135,875.69, 203,616.70 and 76,585.20 is: 114,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,875.69 : 203,616.70 = 76,585.20 : x
  2. Step 2: Convert to fraction form
    135,875.69/203,616.70 = 76,585.20/x
  3. Step 3: Cross multiply
    135,875.69x = 203,616.70 × 76,585.20
  4. Step 4: Simplify right side
    135,875.69x = 15,594,025,309.91
  5. Step 5: Solve for x
    x = 15,594,025,309.91/135,875.69
  6. Step 6: Final answer
    x = 114,766.86

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Why These Related Problems?

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