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Finding the Fourth Proportional to 207,934.90, 311,319.15 and 202,102.90

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Solution

The fourth proportional to 207,934.90, 311,319.15 and 202,102.90 is: 302,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,934.90 : 311,319.15 = 202,102.90 : x
  2. Step 2: Convert to fraction form
    207,934.90/311,319.15 = 202,102.90/x
  3. Step 3: Cross multiply
    207,934.90x = 311,319.15 × 202,102.90
  4. Step 4: Simplify right side
    207,934.90x = 62,918,503,040.54
  5. Step 5: Solve for x
    x = 62,918,503,040.54/207,934.90
  6. Step 6: Final answer
    x = 302,587.51

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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.