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Finding the Fourth Proportional to 207,806.92, 286,767.82 and 117,162.10

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Solution

The fourth proportional to 207,806.92, 286,767.82 and 117,162.10 is: 161,680.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,806.92 : 286,767.82 = 117,162.10 : x
  2. Step 2: Convert to fraction form
    207,806.92/286,767.82 = 117,162.10/x
  3. Step 3: Cross multiply
    207,806.92x = 286,767.82 × 117,162.10
  4. Step 4: Simplify right side
    207,806.92x = 33,598,318,565.95
  5. Step 5: Solve for x
    x = 33,598,318,565.95/207,806.92
  6. Step 6: Final answer
    x = 161,680.46

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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.