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Finding the Fourth Proportional to 114,161.73, 157,524.78 and 71,690.19

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Solution

The fourth proportional to 114,161.73, 157,524.78 and 71,690.19 is: 98,920.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,161.73 : 157,524.78 = 71,690.19 : x
  2. Step 2: Convert to fraction form
    114,161.73/157,524.78 = 71,690.19/x
  3. Step 3: Cross multiply
    114,161.73x = 157,524.78 × 71,690.19
  4. Step 4: Simplify right side
    114,161.73x = 11,292,981,407.91
  5. Step 5: Solve for x
    x = 11,292,981,407.91/114,161.73
  6. Step 6: Final answer
    x = 98,920.90

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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.