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Finding the Fourth Proportional to 208,066.20, 311,321.70 and 138,082.20

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Solution

The fourth proportional to 208,066.20, 311,321.70 and 138,082.20 is: 206,607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,066.20 : 311,321.70 = 138,082.20 : x
  2. Step 2: Convert to fraction form
    208,066.20/311,321.70 = 138,082.20/x
  3. Step 3: Cross multiply
    208,066.20x = 311,321.70 × 138,082.20
  4. Step 4: Simplify right side
    208,066.20x = 42,987,985,243.74
  5. Step 5: Solve for x
    x = 42,987,985,243.74/208,066.20
  6. Step 6: Final answer
    x = 206,607.25

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1.5x scale

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.