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Finding the Fourth Proportional to 295,101.60, 442,069.20 and 161,743.20

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Solution

The fourth proportional to 295,101.60, 442,069.20 and 161,743.20 is: 242,295.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,101.60 : 442,069.20 = 161,743.20 : x
  2. Step 2: Convert to fraction form
    295,101.60/442,069.20 = 161,743.20/x
  3. Step 3: Cross multiply
    295,101.60x = 442,069.20 × 161,743.20
  4. Step 4: Simplify right side
    295,101.60x = 71,501,687,029.44
  5. Step 5: Solve for x
    x = 71,501,687,029.44/295,101.60
  6. Step 6: Final answer
    x = 242,295.15

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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.