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Finding the Fourth Proportional to 229,132.80, 343,310.40 and 189,475.20

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Solution

The fourth proportional to 229,132.80, 343,310.40 and 189,475.20 is: 283,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,132.80 : 343,310.40 = 189,475.20 : x
  2. Step 2: Convert to fraction form
    229,132.80/343,310.40 = 189,475.20/x
  3. Step 3: Cross multiply
    229,132.80x = 343,310.40 × 189,475.20
  4. Step 4: Simplify right side
    229,132.80x = 65,048,806,702.08
  5. Step 5: Solve for x
    x = 65,048,806,702.08/229,132.80
  6. Step 6: Final answer
    x = 283,891.29

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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.