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Finding the Fourth Proportional to 283,806.24, 391,662.06 and 169,069.20

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Solution

The fourth proportional to 283,806.24, 391,662.06 and 169,069.20 is: 233,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,806.24 : 391,662.06 = 169,069.20 : x
  2. Step 2: Convert to fraction form
    283,806.24/391,662.06 = 169,069.20/x
  3. Step 3: Cross multiply
    283,806.24x = 391,662.06 × 169,069.20
  4. Step 4: Simplify right side
    283,806.24x = 66,217,991,154.55
  5. Step 5: Solve for x
    x = 66,217,991,154.55/283,806.24
  6. Step 6: Final answer
    x = 233,321.12

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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.