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Finding the Fourth Proportional to 295,214.60, 442,821.90 and 108,201.80

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Solution

The fourth proportional to 295,214.60, 442,821.90 and 108,201.80 is: 162,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,214.60 : 442,821.90 = 108,201.80 : x
  2. Step 2: Convert to fraction form
    295,214.60/442,821.90 = 108,201.80/x
  3. Step 3: Cross multiply
    295,214.60x = 442,821.90 × 108,201.80
  4. Step 4: Simplify right side
    295,214.60x = 47,914,126,659.42
  5. Step 5: Solve for x
    x = 47,914,126,659.42/295,214.60
  6. Step 6: Final answer
    x = 162,302.70

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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.