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Finding the Fourth Proportional to 206,590.49, 285,109.00 and 114,714.52

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Solution

The fourth proportional to 206,590.49, 285,109.00 and 114,714.52 is: 158,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,590.49 : 285,109.00 = 114,714.52 : x
  2. Step 2: Convert to fraction form
    206,590.49/285,109.00 = 114,714.52/x
  3. Step 3: Cross multiply
    206,590.49x = 285,109.00 × 114,714.52
  4. Step 4: Simplify right side
    206,590.49x = 32,706,143,332.13
  5. Step 5: Solve for x
    x = 32,706,143,332.13/206,590.49
  6. Step 6: Final answer
    x = 158,313.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.