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Finding the Fourth Proportional to 137,594.26, 206,377.53 and 37,764.51

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Solution

The fourth proportional to 137,594.26, 206,377.53 and 37,764.51 is: 56,642.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,594.26 : 206,377.53 = 37,764.51 : x
  2. Step 2: Convert to fraction form
    137,594.26/206,377.53 = 37,764.51/x
  3. Step 3: Cross multiply
    137,594.26x = 206,377.53 × 37,764.51
  4. Step 4: Simplify right side
    137,594.26x = 7,793,746,295.46
  5. Step 5: Solve for x
    x = 7,793,746,295.46/137,594.26
  6. Step 6: Final answer
    x = 56,642.96

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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.