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Finding the Fourth Proportional to 157,568, 217,443.84 and 86,912

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Solution

The fourth proportional to 157,568, 217,443.84 and 86,912 is: 119,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,568 : 217,443.84 = 86,912 : x
  2. Step 2: Convert to fraction form
    157,568/217,443.84 = 86,912/x
  3. Step 3: Cross multiply
    157,568x = 217,443.84 × 86,912
  4. Step 4: Simplify right side
    157,568x = 18,898,479,022.08
  5. Step 5: Solve for x
    x = 18,898,479,022.08/157,568
  6. Step 6: Final answer
    x = 119,938.56

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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.