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Finding the Fourth Proportional to 206,590.66, 285,098.61 and 114,707.50

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Solution

The fourth proportional to 206,590.66, 285,098.61 and 114,707.50 is: 158,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,590.66 : 285,098.61 = 114,707.50 : x
  2. Step 2: Convert to fraction form
    206,590.66/285,098.61 = 114,707.50/x
  3. Step 3: Cross multiply
    206,590.66x = 285,098.61 × 114,707.50
  4. Step 4: Simplify right side
    206,590.66x = 32,702,948,806.58
  5. Step 5: Solve for x
    x = 32,702,948,806.58/206,590.66
  6. Step 6: Final answer
    x = 158,298.29

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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.