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Finding the Fourth Proportional to 137,181.80, 205,751.92 and 37,349.86

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Solution

The fourth proportional to 137,181.80, 205,751.92 and 37,349.86 is: 56,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,181.80 : 205,751.92 = 37,349.86 : x
  2. Step 2: Convert to fraction form
    137,181.80/205,751.92 = 37,349.86/x
  3. Step 3: Cross multiply
    137,181.80x = 205,751.92 × 37,349.86
  4. Step 4: Simplify right side
    137,181.80x = 7,684,804,377.97
  5. Step 5: Solve for x
    x = 7,684,804,377.97/137,181.80
  6. Step 6: Final answer
    x = 56,019.13

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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.