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Finding the Fourth Proportional to 295,098.60, 442,064.70 and 161,740.20

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Solution

The fourth proportional to 295,098.60, 442,064.70 and 161,740.20 is: 242,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,098.60 : 442,064.70 = 161,740.20 : x
  2. Step 2: Convert to fraction form
    295,098.60/442,064.70 = 161,740.20/x
  3. Step 3: Cross multiply
    295,098.60x = 442,064.70 × 161,740.20
  4. Step 4: Simplify right side
    295,098.60x = 71,499,632,990.94
  5. Step 5: Solve for x
    x = 71,499,632,990.94/295,098.60
  6. Step 6: Final answer
    x = 242,290.65

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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.