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Finding the Fourth Proportional to 172,562.66, 258,831.56 and 54,267.84

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Solution

The fourth proportional to 172,562.66, 258,831.56 and 54,267.84 is: 81,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,562.66 : 258,831.56 = 54,267.84 : x
  2. Step 2: Convert to fraction form
    172,562.66/258,831.56 = 54,267.84/x
  3. Step 3: Cross multiply
    172,562.66x = 258,831.56 × 54,267.84
  4. Step 4: Simplify right side
    172,562.66x = 14,046,229,685.03
  5. Step 5: Solve for x
    x = 14,046,229,685.03/172,562.66
  6. Step 6: Final answer
    x = 81,397.85

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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.