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Finding the Fourth Proportional to 167,853, 231,637.14 and 96,256.70

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Solution

The fourth proportional to 167,853, 231,637.14 and 96,256.70 is: 132,834.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,853 : 231,637.14 = 96,256.70 : x
  2. Step 2: Convert to fraction form
    167,853/231,637.14 = 96,256.70/x
  3. Step 3: Cross multiply
    167,853x = 231,637.14 × 96,256.70
  4. Step 4: Simplify right side
    167,853x = 22,296,625,535.65
  5. Step 5: Solve for x
    x = 22,296,625,535.65/167,853
  6. Step 6: Final answer
    x = 132,834.24

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1.5x scale

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.