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Finding the Fourth Proportional to 157,859.16, 217,846.41 and 86,240.38

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Solution

The fourth proportional to 157,859.16, 217,846.41 and 86,240.38 is: 119,012.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,859.16 : 217,846.41 = 86,240.38 : x
  2. Step 2: Convert to fraction form
    157,859.16/217,846.41 = 86,240.38/x
  3. Step 3: Cross multiply
    157,859.16x = 217,846.41 × 86,240.38
  4. Step 4: Simplify right side
    157,859.16x = 18,787,156,635.42
  5. Step 5: Solve for x
    x = 18,787,156,635.42/157,859.16
  6. Step 6: Final answer
    x = 119,012.14

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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.