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Finding the Fourth Proportional to 167,140.32, 250,716.48 and 54,823.20

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Solution

The fourth proportional to 167,140.32, 250,716.48 and 54,823.20 is: 82,236.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,140.32 : 250,716.48 = 54,823.20 : x
  2. Step 2: Convert to fraction form
    167,140.32/250,716.48 = 54,823.20/x
  3. Step 3: Cross multiply
    167,140.32x = 250,716.48 × 54,823.20
  4. Step 4: Simplify right side
    167,140.32x = 13,745,079,726.34
  5. Step 5: Solve for x
    x = 13,745,079,726.34/167,140.32
  6. Step 6: Final answer
    x = 82,236.77

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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.