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Finding the Fourth Proportional to 161,767.60, 242,608.20 and 49,447.60

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Solution

The fourth proportional to 161,767.60, 242,608.20 and 49,447.60 is: 74,158.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,767.60 : 242,608.20 = 49,447.60 : x
  2. Step 2: Convert to fraction form
    161,767.60/242,608.20 = 49,447.60/x
  3. Step 3: Cross multiply
    161,767.60x = 242,608.20 × 49,447.60
  4. Step 4: Simplify right side
    161,767.60x = 11,996,393,230.32
  5. Step 5: Solve for x
    x = 11,996,393,230.32/161,767.60
  6. Step 6: Final answer
    x = 74,158.20

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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.