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Finding the Fourth Proportional to 157,872.44, 217,867.10 and 86,256.90

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Solution

The fourth proportional to 157,872.44, 217,867.10 and 86,256.90 is: 119,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,872.44 : 217,867.10 = 86,256.90 : x
  2. Step 2: Convert to fraction form
    157,872.44/217,867.10 = 86,256.90/x
  3. Step 3: Cross multiply
    157,872.44x = 217,867.10 × 86,256.90
  4. Step 4: Simplify right side
    157,872.44x = 18,792,540,226.71
  5. Step 5: Solve for x
    x = 18,792,540,226.71/157,872.44
  6. Step 6: Final answer
    x = 119,036.23

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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.