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Finding the Fourth Proportional to 177,181.86, 244,515.86 and 108,282.47

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Solution

The fourth proportional to 177,181.86, 244,515.86 and 108,282.47 is: 149,432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,181.86 : 244,515.86 = 108,282.47 : x
  2. Step 2: Convert to fraction form
    177,181.86/244,515.86 = 108,282.47/x
  3. Step 3: Cross multiply
    177,181.86x = 244,515.86 × 108,282.47
  4. Step 4: Simplify right side
    177,181.86x = 26,476,781,901.53
  5. Step 5: Solve for x
    x = 26,476,781,901.53/177,181.86
  6. Step 6: Final answer
    x = 149,432.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.