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Finding the Fourth Proportional to 165,275.88, 228,082.53 and 89,824.38

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Solution

The fourth proportional to 165,275.88, 228,082.53 and 89,824.38 is: 123,958.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,275.88 : 228,082.53 = 89,824.38 : x
  2. Step 2: Convert to fraction form
    165,275.88/228,082.53 = 89,824.38/x
  3. Step 3: Cross multiply
    165,275.88x = 228,082.53 × 89,824.38
  4. Step 4: Simplify right side
    165,275.88x = 20,487,371,846.08
  5. Step 5: Solve for x
    x = 20,487,371,846.08/165,275.88
  6. Step 6: Final answer
    x = 123,958.63

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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.