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Finding the Fourth Proportional to 169,082.54, 253,673.19 and 75,566.42

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Solution

The fourth proportional to 169,082.54, 253,673.19 and 75,566.42 is: 113,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,082.54 : 253,673.19 = 75,566.42 : x
  2. Step 2: Convert to fraction form
    169,082.54/253,673.19 = 75,566.42/x
  3. Step 3: Cross multiply
    169,082.54x = 253,673.19 × 75,566.42
  4. Step 4: Simplify right side
    169,082.54x = 19,169,174,818.28
  5. Step 5: Solve for x
    x = 19,169,174,818.28/169,082.54
  6. Step 6: Final answer
    x = 113,371.70

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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.