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Finding the Fourth Proportional to 137,683.87, 206,527.62 and 53,448.83

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Solution

The fourth proportional to 137,683.87, 206,527.62 and 53,448.83 is: 80,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,683.87 : 206,527.62 = 53,448.83 : x
  2. Step 2: Convert to fraction form
    137,683.87/206,527.62 = 53,448.83/x
  3. Step 3: Cross multiply
    137,683.87x = 206,527.62 × 53,448.83
  4. Step 4: Simplify right side
    137,683.87x = 11,038,659,593.96
  5. Step 5: Solve for x
    x = 11,038,659,593.96/137,683.87
  6. Step 6: Final answer
    x = 80,173.95

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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.