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Finding the Fourth Proportional to 295,082.35, 442,040.33 and 161,723.95

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Solution

The fourth proportional to 295,082.35, 442,040.33 and 161,723.95 is: 242,266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,082.35 : 442,040.33 = 161,723.95 : x
  2. Step 2: Convert to fraction form
    295,082.35/442,040.33 = 161,723.95/x
  3. Step 3: Cross multiply
    295,082.35x = 442,040.33 × 161,723.95
  4. Step 4: Simplify right side
    295,082.35x = 71,488,507,418.28
  5. Step 5: Solve for x
    x = 71,488,507,418.28/295,082.35
  6. Step 6: Final answer
    x = 242,266.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.