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Finding the Fourth Proportional to 207,494.40, 311,290.88 and 89,166.88

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Solution

The fourth proportional to 207,494.40, 311,290.88 and 89,166.88 is: 133,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,494.40 : 311,290.88 = 89,166.88 : x
  2. Step 2: Convert to fraction form
    207,494.40/311,290.88 = 89,166.88/x
  3. Step 3: Cross multiply
    207,494.40x = 311,290.88 × 89,166.88
  4. Step 4: Simplify right side
    207,494.40x = 27,756,836,542.05
  5. Step 5: Solve for x
    x = 27,756,836,542.05/207,494.40
  6. Step 6: Final answer
    x = 133,771.50

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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.