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Finding the Fourth Proportional to 144,884.73, 217,159.13 and 54,870.24

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Solution

The fourth proportional to 144,884.73, 217,159.13 and 54,870.24 is: 82,241.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,884.73 : 217,159.13 = 54,870.24 : x
  2. Step 2: Convert to fraction form
    144,884.73/217,159.13 = 54,870.24/x
  3. Step 3: Cross multiply
    144,884.73x = 217,159.13 × 54,870.24
  4. Step 4: Simplify right side
    144,884.73x = 11,915,574,224.17
  5. Step 5: Solve for x
    x = 11,915,574,224.17/144,884.73
  6. Step 6: Final answer
    x = 82,241.75

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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.