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Finding the Fourth Proportional to 223,449.40, 335,174.10 and 156,964.60

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Solution

The fourth proportional to 223,449.40, 335,174.10 and 156,964.60 is: 235,446.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,449.40 : 335,174.10 = 156,964.60 : x
  2. Step 2: Convert to fraction form
    223,449.40/335,174.10 = 156,964.60/x
  3. Step 3: Cross multiply
    223,449.40x = 335,174.10 × 156,964.60
  4. Step 4: Simplify right side
    223,449.40x = 52,610,468,536.86
  5. Step 5: Solve for x
    x = 52,610,468,536.86/223,449.40
  6. Step 6: Final answer
    x = 235,446.90

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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.