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Finding the Fourth Proportional to 205,373.86, 283,231.72 and 171,032.29

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Solution

The fourth proportional to 205,373.86, 283,231.72 and 171,032.29 is: 235,871.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,373.86 : 283,231.72 = 171,032.29 : x
  2. Step 2: Convert to fraction form
    205,373.86/283,231.72 = 171,032.29/x
  3. Step 3: Cross multiply
    205,373.86x = 283,231.72 × 171,032.29
  4. Step 4: Simplify right side
    205,373.86x = 48,441,769,672.24
  5. Step 5: Solve for x
    x = 48,441,769,672.24/205,373.86
  6. Step 6: Final answer
    x = 235,871.16

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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.