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Finding the Fourth Proportional to 172,153.16, 257,996.22 and 83,229.56

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Solution

The fourth proportional to 172,153.16, 257,996.22 and 83,229.56 is: 124,731.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,153.16 : 257,996.22 = 83,229.56 : x
  2. Step 2: Convert to fraction form
    172,153.16/257,996.22 = 83,229.56/x
  3. Step 3: Cross multiply
    172,153.16x = 257,996.22 × 83,229.56
  4. Step 4: Simplify right side
    172,153.16x = 21,472,911,872.26
  5. Step 5: Solve for x
    x = 21,472,911,872.26/172,153.16
  6. Step 6: Final answer
    x = 124,731.44

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1.5x scale

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.