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Finding the Fourth Proportional to 223,291.76, 335,221.92 and 144,734.72

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Solution

The fourth proportional to 223,291.76, 335,221.92 and 144,734.72 is: 217,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,291.76 : 335,221.92 = 144,734.72 : x
  2. Step 2: Convert to fraction form
    223,291.76/335,221.92 = 144,734.72/x
  3. Step 3: Cross multiply
    223,291.76x = 335,221.92 × 144,734.72
  4. Step 4: Simplify right side
    223,291.76x = 48,518,250,729.06
  5. Step 5: Solve for x
    x = 48,518,250,729.06/223,291.76
  6. Step 6: Final answer
    x = 217,286.35

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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.