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Finding the Fourth Proportional to 137,659.92, 206,465.23 and 36,458.65

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Solution

The fourth proportional to 137,659.92, 206,465.23 and 36,458.65 is: 54,681.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,659.92 : 206,465.23 = 36,458.65 : x
  2. Step 2: Convert to fraction form
    137,659.92/206,465.23 = 36,458.65/x
  3. Step 3: Cross multiply
    137,659.92x = 206,465.23 × 36,458.65
  4. Step 4: Simplify right side
    137,659.92x = 7,527,443,557.74
  5. Step 5: Solve for x
    x = 7,527,443,557.74/137,659.92
  6. Step 6: Final answer
    x = 54,681.45

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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.