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Finding the Fourth Proportional to 157,334.90, 217,229.49 and 120,972.38

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Solution

The fourth proportional to 157,334.90, 217,229.49 and 120,972.38 is: 167,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,334.90 : 217,229.49 = 120,972.38 : x
  2. Step 2: Convert to fraction form
    157,334.90/217,229.49 = 120,972.38/x
  3. Step 3: Cross multiply
    157,334.90x = 217,229.49 × 120,972.38
  4. Step 4: Simplify right side
    157,334.90x = 26,278,767,325.34
  5. Step 5: Solve for x
    x = 26,278,767,325.34/157,334.90
  6. Step 6: Final answer
    x = 167,024.41

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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.