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Finding the Fourth Proportional to 179,656.67, 269,189.44 and 142,455.71

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Solution

The fourth proportional to 179,656.67, 269,189.44 and 142,455.71 is: 213,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,656.67 : 269,189.44 = 142,455.71 : x
  2. Step 2: Convert to fraction form
    179,656.67/269,189.44 = 142,455.71/x
  3. Step 3: Cross multiply
    179,656.67x = 269,189.44 × 142,455.71
  4. Step 4: Simplify right side
    179,656.67x = 38,347,572,799.70
  5. Step 5: Solve for x
    x = 38,347,572,799.70/179,656.67
  6. Step 6: Final answer
    x = 213,449.20

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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.