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Finding the Fourth Proportional to 172,713.76, 259,079.88 and 54,394.31

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Solution

The fourth proportional to 172,713.76, 259,079.88 and 54,394.31 is: 81,594.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,713.76 : 259,079.88 = 54,394.31 : x
  2. Step 2: Convert to fraction form
    172,713.76/259,079.88 = 54,394.31/x
  3. Step 3: Cross multiply
    172,713.76x = 259,079.88 × 54,394.31
  4. Step 4: Simplify right side
    172,713.76x = 14,092,471,307.48
  5. Step 5: Solve for x
    x = 14,092,471,307.48/172,713.76
  6. Step 6: Final answer
    x = 81,594.38

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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.