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Finding the Fourth Proportional to 206,397.74, 309,596.94 and 56,640.08

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Solution

The fourth proportional to 206,397.74, 309,596.94 and 56,640.08 is: 84,960.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397.74 : 309,596.94 = 56,640.08 : x
  2. Step 2: Convert to fraction form
    206,397.74/309,596.94 = 56,640.08/x
  3. Step 3: Cross multiply
    206,397.74x = 309,596.94 × 56,640.08
  4. Step 4: Simplify right side
    206,397.74x = 17,535,593,901.37
  5. Step 5: Solve for x
    x = 17,535,593,901.37/206,397.74
  6. Step 6: Final answer
    x = 84,960.21

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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.