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Finding the Fourth Proportional to 114,428.40, 171,613.89 and 54,419.85

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Solution

The fourth proportional to 114,428.40, 171,613.89 and 54,419.85 is: 81,616.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,428.40 : 171,613.89 = 54,419.85 : x
  2. Step 2: Convert to fraction form
    114,428.40/171,613.89 = 54,419.85/x
  3. Step 3: Cross multiply
    114,428.40x = 171,613.89 × 54,419.85
  4. Step 4: Simplify right side
    114,428.40x = 9,339,202,151.72
  5. Step 5: Solve for x
    x = 9,339,202,151.72/114,428.40
  6. Step 6: Final answer
    x = 81,616.12

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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.