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Finding the Fourth Proportional to 157,851.15, 217,832.13 and 86,229.78

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Solution

The fourth proportional to 157,851.15, 217,832.13 and 86,229.78 is: 118,995.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,851.15 : 217,832.13 = 86,229.78 : x
  2. Step 2: Convert to fraction form
    157,851.15/217,832.13 = 86,229.78/x
  3. Step 3: Cross multiply
    157,851.15x = 217,832.13 × 86,229.78
  4. Step 4: Simplify right side
    157,851.15x = 18,783,616,646.83
  5. Step 5: Solve for x
    x = 18,783,616,646.83/157,851.15
  6. Step 6: Final answer
    x = 118,995.75

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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.