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Finding the Fourth Proportional to 209,449.67, 314,195.96 and 130,542.71

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Solution

The fourth proportional to 209,449.67, 314,195.96 and 130,542.71 is: 195,827.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,449.67 : 314,195.96 = 130,542.71 : x
  2. Step 2: Convert to fraction form
    209,449.67/314,195.96 = 130,542.71/x
  3. Step 3: Cross multiply
    209,449.67x = 314,195.96 × 130,542.71
  4. Step 4: Simplify right side
    209,449.67x = 41,015,990,844.83
  5. Step 5: Solve for x
    x = 41,015,990,844.83/209,449.67
  6. Step 6: Final answer
    x = 195,827.44

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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.