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Finding the Fourth Proportional to 310,577.10, 465,908.85 and 133,082.70

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Solution

The fourth proportional to 310,577.10, 465,908.85 and 133,082.70 is: 199,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,577.10 : 465,908.85 = 133,082.70 : x
  2. Step 2: Convert to fraction form
    310,577.10/465,908.85 = 133,082.70/x
  3. Step 3: Cross multiply
    310,577.10x = 465,908.85 × 133,082.70
  4. Step 4: Simplify right side
    310,577.10x = 62,004,407,711.90
  5. Step 5: Solve for x
    x = 62,004,407,711.90/310,577.10
  6. Step 6: Final answer
    x = 199,642.56

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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.