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Finding the Fourth Proportional to 205,062.81, 283,006.22 and 124,471.86

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Solution

The fourth proportional to 205,062.81, 283,006.22 and 124,471.86 is: 171,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,062.81 : 283,006.22 = 124,471.86 : x
  2. Step 2: Convert to fraction form
    205,062.81/283,006.22 = 124,471.86/x
  3. Step 3: Cross multiply
    205,062.81x = 283,006.22 × 124,471.86
  4. Step 4: Simplify right side
    205,062.81x = 35,226,309,972.61
  5. Step 5: Solve for x
    x = 35,226,309,972.61/205,062.81
  6. Step 6: Final answer
    x = 171,783.03

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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.