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Finding the Fourth Proportional to 207,906.65, 286,909.77 and 117,263.39

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Solution

The fourth proportional to 207,906.65, 286,909.77 and 117,263.39 is: 161,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906.65 : 286,909.77 = 117,263.39 : x
  2. Step 2: Convert to fraction form
    207,906.65/286,909.77 = 117,263.39/x
  3. Step 3: Cross multiply
    207,906.65x = 286,909.77 × 117,263.39
  4. Step 4: Simplify right side
    207,906.65x = 33,644,010,819.77
  5. Step 5: Solve for x
    x = 33,644,010,819.77/207,906.65
  6. Step 6: Final answer
    x = 161,822.68

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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.