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Finding the Fourth Proportional to 137,812.75, 206,719.17 and 44,318.50

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Solution

The fourth proportional to 137,812.75, 206,719.17 and 44,318.50 is: 66,477.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,812.75 : 206,719.17 = 44,318.50 : x
  2. Step 2: Convert to fraction form
    137,812.75/206,719.17 = 44,318.50/x
  3. Step 3: Cross multiply
    137,812.75x = 206,719.17 × 44,318.50
  4. Step 4: Simplify right side
    137,812.75x = 9,161,483,535.65
  5. Step 5: Solve for x
    x = 9,161,483,535.65/137,812.75
  6. Step 6: Final answer
    x = 66,477.76

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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.