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Finding the Fourth Proportional to 206,397.36, 309,596.49 and 56,639.70

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Solution

The fourth proportional to 206,397.36, 309,596.49 and 56,639.70 is: 84,959.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397.36 : 309,596.49 = 56,639.70 : x
  2. Step 2: Convert to fraction form
    206,397.36/309,596.49 = 56,639.70/x
  3. Step 3: Cross multiply
    206,397.36x = 309,596.49 × 56,639.70
  4. Step 4: Simplify right side
    206,397.36x = 17,535,452,314.65
  5. Step 5: Solve for x
    x = 17,535,452,314.65/206,397.36
  6. Step 6: Final answer
    x = 84,959.67

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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.