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Finding the Fourth Proportional to 206,384.16, 309,576.66 and 56,626.52

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Solution

The fourth proportional to 206,384.16, 309,576.66 and 56,626.52 is: 84,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,384.16 : 309,576.66 = 56,626.52 : x
  2. Step 2: Convert to fraction form
    206,384.16/309,576.66 = 56,626.52/x
  3. Step 3: Cross multiply
    206,384.16x = 309,576.66 × 56,626.52
  4. Step 4: Simplify right side
    206,384.16x = 17,530,248,929.02
  5. Step 5: Solve for x
    x = 17,530,248,929.02/206,384.16
  6. Step 6: Final answer
    x = 84,939.90

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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.