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Finding the Fourth Proportional to 159,849.20, 224,203.60 and 159,849.20

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Solution

The fourth proportional to 159,849.20, 224,203.60 and 159,849.20 is: 224,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,849.20 : 224,203.60 = 159,849.20 : x
  2. Step 2: Convert to fraction form
    159,849.20/224,203.60 = 159,849.20/x
  3. Step 3: Cross multiply
    159,849.20x = 224,203.60 × 159,849.20
  4. Step 4: Simplify right side
    159,849.20x = 35,838,766,097.12
  5. Step 5: Solve for x
    x = 35,838,766,097.12/159,849.20
  6. Step 6: Final answer
    x = 224,203.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.