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Finding the Fourth Proportional to 114,420.58, 171,472.92 and 82,576.78

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Solution

The fourth proportional to 114,420.58, 171,472.92 and 82,576.78 is: 123,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,420.58 : 171,472.92 = 82,576.78 : x
  2. Step 2: Convert to fraction form
    114,420.58/171,472.92 = 82,576.78/x
  3. Step 3: Cross multiply
    114,420.58x = 171,472.92 × 82,576.78
  4. Step 4: Simplify right side
    114,420.58x = 14,159,681,590.80
  5. Step 5: Solve for x
    x = 14,159,681,590.80/114,420.58
  6. Step 6: Final answer
    x = 123,751.18

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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.