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Finding the Fourth Proportional to 295,100.60, 442,067.70 and 161,742.20

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Solution

The fourth proportional to 295,100.60, 442,067.70 and 161,742.20 is: 242,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,100.60 : 442,067.70 = 161,742.20 : x
  2. Step 2: Convert to fraction form
    295,100.60/442,067.70 = 161,742.20/x
  3. Step 3: Cross multiply
    295,100.60x = 442,067.70 × 161,742.20
  4. Step 4: Simplify right side
    295,100.60x = 71,501,002,346.94
  5. Step 5: Solve for x
    x = 71,501,002,346.94/295,100.60
  6. Step 6: Final answer
    x = 242,293.65

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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.