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Finding the Fourth Proportional to 207,502.56, 311,297.58 and 67,250.25

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Solution

The fourth proportional to 207,502.56, 311,297.58 and 67,250.25 is: 100,889.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,502.56 : 311,297.58 = 67,250.25 : x
  2. Step 2: Convert to fraction form
    207,502.56/311,297.58 = 67,250.25/x
  3. Step 3: Cross multiply
    207,502.56x = 311,297.58 × 67,250.25
  4. Step 4: Simplify right side
    207,502.56x = 20,934,840,079.40
  5. Step 5: Solve for x
    x = 20,934,840,079.40/207,502.56
  6. Step 6: Final answer
    x = 100,889.55

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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.