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Finding the Fourth Proportional to 209,312.64, 313,979.84 and 69,082.20

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Solution

The fourth proportional to 209,312.64, 313,979.84 and 69,082.20 is: 103,626.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,312.64 : 313,979.84 = 69,082.20 : x
  2. Step 2: Convert to fraction form
    209,312.64/313,979.84 = 69,082.20/x
  3. Step 3: Cross multiply
    209,312.64x = 313,979.84 × 69,082.20
  4. Step 4: Simplify right side
    209,312.64x = 21,690,418,102.85
  5. Step 5: Solve for x
    x = 21,690,418,102.85/209,312.64
  6. Step 6: Final answer
    x = 103,626.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.