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Finding the Fourth Proportional to 114,046.80, 171,070.20 and 51,717.30

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Solution

The fourth proportional to 114,046.80, 171,070.20 and 51,717.30 is: 77,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,046.80 : 171,070.20 = 51,717.30 : x
  2. Step 2: Convert to fraction form
    114,046.80/171,070.20 = 51,717.30/x
  3. Step 3: Cross multiply
    114,046.80x = 171,070.20 × 51,717.30
  4. Step 4: Simplify right side
    114,046.80x = 8,847,288,854.46
  5. Step 5: Solve for x
    x = 8,847,288,854.46/114,046.80
  6. Step 6: Final answer
    x = 77,575.95

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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.