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Finding the Fourth Proportional to 165,402.66, 228,255.66 and 89,951.16

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Solution

The fourth proportional to 165,402.66, 228,255.66 and 89,951.16 is: 124,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,402.66 : 228,255.66 = 89,951.16 : x
  2. Step 2: Convert to fraction form
    165,402.66/228,255.66 = 89,951.16/x
  3. Step 3: Cross multiply
    165,402.66x = 228,255.66 × 89,951.16
  4. Step 4: Simplify right side
    165,402.66x = 20,531,861,393.57
  5. Step 5: Solve for x
    x = 20,531,861,393.57/165,402.66
  6. Step 6: Final answer
    x = 124,132.59

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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.