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Finding the Fourth Proportional to 137,698.38, 206,547.57 and 44,269.74

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Solution

The fourth proportional to 137,698.38, 206,547.57 and 44,269.74 is: 66,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,698.38 : 206,547.57 = 44,269.74 : x
  2. Step 2: Convert to fraction form
    137,698.38/206,547.57 = 44,269.74/x
  3. Step 3: Cross multiply
    137,698.38x = 206,547.57 × 44,269.74
  4. Step 4: Simplify right side
    137,698.38x = 9,143,807,221.53
  5. Step 5: Solve for x
    x = 9,143,807,221.53/137,698.38
  6. Step 6: Final answer
    x = 66,404.61

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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.