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Finding the Fourth Proportional to 144,732.26, 217,113.12 and 49,950.11

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Solution

The fourth proportional to 144,732.26, 217,113.12 and 49,950.11 is: 74,930.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,732.26 : 217,113.12 = 49,950.11 : x
  2. Step 2: Convert to fraction form
    144,732.26/217,113.12 = 49,950.11/x
  3. Step 3: Cross multiply
    144,732.26x = 217,113.12 × 49,950.11
  4. Step 4: Simplify right side
    144,732.26x = 10,844,824,769.23
  5. Step 5: Solve for x
    x = 10,844,824,769.23/144,732.26
  6. Step 6: Final answer
    x = 74,930.25

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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.