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Finding the Fourth Proportional to 137,565.51, 206,348.57 and 37,727.13

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Solution

The fourth proportional to 137,565.51, 206,348.57 and 37,727.13 is: 56,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,565.51 : 206,348.57 = 37,727.13 : x
  2. Step 2: Convert to fraction form
    137,565.51/206,348.57 = 37,727.13/x
  3. Step 3: Cross multiply
    137,565.51x = 206,348.57 × 37,727.13
  4. Step 4: Simplify right side
    137,565.51x = 7,784,939,137.07
  5. Step 5: Solve for x
    x = 7,784,939,137.07/137,565.51
  6. Step 6: Final answer
    x = 56,590.78

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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.