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Finding the Fourth Proportional to 229,296.60, 343,977.30 and 71,508.60

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Solution

The fourth proportional to 229,296.60, 343,977.30 and 71,508.60 is: 107,273.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,296.60 : 343,977.30 = 71,508.60 : x
  2. Step 2: Convert to fraction form
    229,296.60/343,977.30 = 71,508.60/x
  3. Step 3: Cross multiply
    229,296.60x = 343,977.30 × 71,508.60
  4. Step 4: Simplify right side
    229,296.60x = 24,597,335,154.78
  5. Step 5: Solve for x
    x = 24,597,335,154.78/229,296.60
  6. Step 6: Final answer
    x = 107,273.00

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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.