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Finding the Fourth Proportional to 137,257.27, 205,879.82 and 37,417.48

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Solution

The fourth proportional to 137,257.27, 205,879.82 and 37,417.48 is: 56,124.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,257.27 : 205,879.82 = 37,417.48 : x
  2. Step 2: Convert to fraction form
    137,257.27/205,879.82 = 37,417.48/x
  3. Step 3: Cross multiply
    137,257.27x = 205,879.82 × 37,417.48
  4. Step 4: Simplify right side
    137,257.27x = 7,703,503,345.47
  5. Step 5: Solve for x
    x = 7,703,503,345.47/137,257.27
  6. Step 6: Final answer
    x = 56,124.56

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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.