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Finding the Fourth Proportional to 207,767.40, 311,796.90 and 133,069.20

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Solution

The fourth proportional to 207,767.40, 311,796.90 and 133,069.20 is: 199,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,767.40 : 311,796.90 = 133,069.20 : x
  2. Step 2: Convert to fraction form
    207,767.40/311,796.90 = 133,069.20/x
  3. Step 3: Cross multiply
    207,767.40x = 311,796.90 × 133,069.20
  4. Step 4: Simplify right side
    207,767.40x = 41,490,564,045.48
  5. Step 5: Solve for x
    x = 41,490,564,045.48/207,767.40
  6. Step 6: Final answer
    x = 199,697.18

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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.