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Finding the Fourth Proportional to 157,400.55, 235,972.17 and 73,213.20

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Solution

The fourth proportional to 157,400.55, 235,972.17 and 73,213.20 is: 109,759.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,400.55 : 235,972.17 = 73,213.20 : x
  2. Step 2: Convert to fraction form
    157,400.55/235,972.17 = 73,213.20/x
  3. Step 3: Cross multiply
    157,400.55x = 235,972.17 × 73,213.20
  4. Step 4: Simplify right side
    157,400.55x = 17,276,277,676.64
  5. Step 5: Solve for x
    x = 17,276,277,676.64/157,400.55
  6. Step 6: Final answer
    x = 109,759.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.