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Finding the Fourth Proportional to 206,398.24, 309,597.70 and 56,640.58

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Solution

The fourth proportional to 206,398.24, 309,597.70 and 56,640.58 is: 84,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,398.24 : 309,597.70 = 56,640.58 : x
  2. Step 2: Convert to fraction form
    206,398.24/309,597.70 = 56,640.58/x
  3. Step 3: Cross multiply
    206,398.24x = 309,597.70 × 56,640.58
  4. Step 4: Simplify right side
    206,398.24x = 17,535,793,294.67
  5. Step 5: Solve for x
    x = 17,535,793,294.67/206,398.24
  6. Step 6: Final answer
    x = 84,960.96

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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.