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Finding the Fourth Proportional to 229,482.69, 344,223.97 and 71,711.14

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Solution

The fourth proportional to 229,482.69, 344,223.97 and 71,711.14 is: 107,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,482.69 : 344,223.97 = 71,711.14 : x
  2. Step 2: Convert to fraction form
    229,482.69/344,223.97 = 71,711.14/x
  3. Step 3: Cross multiply
    229,482.69x = 344,223.97 × 71,711.14
  4. Step 4: Simplify right side
    229,482.69x = 24,684,693,304.03
  5. Step 5: Solve for x
    x = 24,684,693,304.03/229,482.69
  6. Step 6: Final answer
    x = 107,566.69

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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.