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Finding the Fourth Proportional to 157,862.88, 217,786.23 and 116,568.81

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Solution

The fourth proportional to 157,862.88, 217,786.23 and 116,568.81 is: 160,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,862.88 : 217,786.23 = 116,568.81 : x
  2. Step 2: Convert to fraction form
    157,862.88/217,786.23 = 116,568.81/x
  3. Step 3: Cross multiply
    157,862.88x = 217,786.23 × 116,568.81
  4. Step 4: Simplify right side
    157,862.88x = 25,387,081,665.49
  5. Step 5: Solve for x
    x = 25,387,081,665.49/157,862.88
  6. Step 6: Final answer
    x = 160,817.30

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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.