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Finding the Fourth Proportional to 144,538.40, 216,839.46 and 43,332.42

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Solution

The fourth proportional to 144,538.40, 216,839.46 and 43,332.42 is: 65,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,538.40 : 216,839.46 = 43,332.42 : x
  2. Step 2: Convert to fraction form
    144,538.40/216,839.46 = 43,332.42/x
  3. Step 3: Cross multiply
    144,538.40x = 216,839.46 × 43,332.42
  4. Step 4: Simplify right side
    144,538.40x = 9,396,178,553.29
  5. Step 5: Solve for x
    x = 9,396,178,553.29/144,538.40
  6. Step 6: Final answer
    x = 65,008.18

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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.