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Finding the Fourth Proportional to 295,270.70, 442,906.05 and 137,515.10

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Solution

The fourth proportional to 295,270.70, 442,906.05 and 137,515.10 is: 206,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,270.70 : 442,906.05 = 137,515.10 : x
  2. Step 2: Convert to fraction form
    295,270.70/442,906.05 = 137,515.10/x
  3. Step 3: Cross multiply
    295,270.70x = 442,906.05 × 137,515.10
  4. Step 4: Simplify right side
    295,270.70x = 60,906,269,756.36
  5. Step 5: Solve for x
    x = 60,906,269,756.36/295,270.70
  6. Step 6: Final answer
    x = 206,272.65

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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.