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Finding the Fourth Proportional to 295,296.60, 442,434.60 and 137,200.80

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Solution

The fourth proportional to 295,296.60, 442,434.60 and 137,200.80 is: 205,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,296.60 : 442,434.60 = 137,200.80 : x
  2. Step 2: Convert to fraction form
    295,296.60/442,434.60 = 137,200.80/x
  3. Step 3: Cross multiply
    295,296.60x = 442,434.60 × 137,200.80
  4. Step 4: Simplify right side
    295,296.60x = 60,702,381,067.68
  5. Step 5: Solve for x
    x = 60,702,381,067.68/295,296.60
  6. Step 6: Final answer
    x = 205,564.10

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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.