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Finding the Fourth Proportional to 207,615.17, 311,225.92 and 67,275.38

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Solution

The fourth proportional to 207,615.17, 311,225.92 and 67,275.38 is: 100,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,615.17 : 311,225.92 = 67,275.38 : x
  2. Step 2: Convert to fraction form
    207,615.17/311,225.92 = 67,275.38/x
  3. Step 3: Cross multiply
    207,615.17x = 311,225.92 × 67,275.38
  4. Step 4: Simplify right side
    207,615.17x = 20,937,840,309.53
  5. Step 5: Solve for x
    x = 20,937,840,309.53/207,615.17
  6. Step 6: Final answer
    x = 100,849.28

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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.