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Finding the Fourth Proportional to 165,770.64, 228,953.52 and 109,433.52

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Solution

The fourth proportional to 165,770.64, 228,953.52 and 109,433.52 is: 151,143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770.64 : 228,953.52 = 109,433.52 : x
  2. Step 2: Convert to fraction form
    165,770.64/228,953.52 = 109,433.52/x
  3. Step 3: Cross multiply
    165,770.64x = 228,953.52 × 109,433.52
  4. Step 4: Simplify right side
    165,770.64x = 25,055,189,609.99
  5. Step 5: Solve for x
    x = 25,055,189,609.99/165,770.64
  6. Step 6: Final answer
    x = 151,143.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.