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Finding the Fourth Proportional to 295,072.60, 442,025.70 and 161,714.20

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Solution

The fourth proportional to 295,072.60, 442,025.70 and 161,714.20 is: 242,251.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,072.60 : 442,025.70 = 161,714.20 : x
  2. Step 2: Convert to fraction form
    295,072.60/442,025.70 = 161,714.20/x
  3. Step 3: Cross multiply
    295,072.60x = 442,025.70 × 161,714.20
  4. Step 4: Simplify right side
    295,072.60x = 71,481,832,454.94
  5. Step 5: Solve for x
    x = 71,481,832,454.94/295,072.60
  6. Step 6: Final answer
    x = 242,251.68

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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.