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Finding the Fourth Proportional to 229,344.60, 343,882.26 and 69,372.40

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Solution

The fourth proportional to 229,344.60, 343,882.26 and 69,372.40 is: 104,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,344.60 : 343,882.26 = 69,372.40 : x
  2. Step 2: Convert to fraction form
    229,344.60/343,882.26 = 69,372.40/x
  3. Step 3: Cross multiply
    229,344.60x = 343,882.26 × 69,372.40
  4. Step 4: Simplify right side
    229,344.60x = 23,855,937,693.62
  5. Step 5: Solve for x
    x = 23,855,937,693.62/229,344.60
  6. Step 6: Final answer
    x = 104,017.87

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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.