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Finding the Fourth Proportional to 114,898.90, 172,348.08 and 54,744.78

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Solution

The fourth proportional to 114,898.90, 172,348.08 and 54,744.78 is: 82,117.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,898.90 : 172,348.08 = 54,744.78 : x
  2. Step 2: Convert to fraction form
    114,898.90/172,348.08 = 54,744.78/x
  3. Step 3: Cross multiply
    114,898.90x = 172,348.08 × 54,744.78
  4. Step 4: Simplify right side
    114,898.90x = 9,435,157,723.02
  5. Step 5: Solve for x
    x = 9,435,157,723.02/114,898.90
  6. Step 6: Final answer
    x = 82,117.04

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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.