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Finding the Fourth Proportional to 161,753.20, 242,629.80 and 146,978.80

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Solution

The fourth proportional to 161,753.20, 242,629.80 and 146,978.80 is: 220,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,753.20 : 242,629.80 = 146,978.80 : x
  2. Step 2: Convert to fraction form
    161,753.20/242,629.80 = 146,978.80/x
  3. Step 3: Cross multiply
    161,753.20x = 242,629.80 × 146,978.80
  4. Step 4: Simplify right side
    161,753.20x = 35,661,436,848.24
  5. Step 5: Solve for x
    x = 35,661,436,848.24/161,753.20
  6. Step 6: Final answer
    x = 220,468.20

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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.