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Finding the Fourth Proportional to 114,602.85, 172,098.15 and 74,689.65

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Solution

The fourth proportional to 114,602.85, 172,098.15 and 74,689.65 is: 112,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,602.85 : 172,098.15 = 74,689.65 : x
  2. Step 2: Convert to fraction form
    114,602.85/172,098.15 = 74,689.65/x
  3. Step 3: Cross multiply
    114,602.85x = 172,098.15 × 74,689.65
  4. Step 4: Simplify right side
    114,602.85x = 12,853,950,589.15
  5. Step 5: Solve for x
    x = 12,853,950,589.15/114,602.85
  6. Step 6: Final answer
    x = 112,160.83

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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.