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Finding the Fourth Proportional to 115,219, 159,002.24 and 62,227

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Solution

The fourth proportional to 115,219, 159,002.24 and 62,227 is: 85,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,219 : 159,002.24 = 62,227 : x
  2. Step 2: Convert to fraction form
    115,219/159,002.24 = 62,227/x
  3. Step 3: Cross multiply
    115,219x = 159,002.24 × 62,227
  4. Step 4: Simplify right side
    115,219x = 9,894,232,388.48
  5. Step 5: Solve for x
    x = 9,894,232,388.48/115,219
  6. Step 6: Final answer
    x = 85,873.27

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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.