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Finding the Fourth Proportional to 177,005.66, 244,249.16 and 105,375.87

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Solution

The fourth proportional to 177,005.66, 244,249.16 and 105,375.87 is: 145,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,005.66 : 244,249.16 = 105,375.87 : x
  2. Step 2: Convert to fraction form
    177,005.66/244,249.16 = 105,375.87/x
  3. Step 3: Cross multiply
    177,005.66x = 244,249.16 × 105,375.87
  4. Step 4: Simplify right side
    177,005.66x = 25,737,967,204.89
  5. Step 5: Solve for x
    x = 25,737,967,204.89/177,005.66
  6. Step 6: Final answer
    x = 145,407.60

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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.