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Finding the Fourth Proportional to 205,182.72, 283,153.32 and 120,301.20

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Solution

The fourth proportional to 205,182.72, 283,153.32 and 120,301.20 is: 166,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,182.72 : 283,153.32 = 120,301.20 : x
  2. Step 2: Convert to fraction form
    205,182.72/283,153.32 = 120,301.20/x
  3. Step 3: Cross multiply
    205,182.72x = 283,153.32 × 120,301.20
  4. Step 4: Simplify right side
    205,182.72x = 34,063,684,179.98
  5. Step 5: Solve for x
    x = 34,063,684,179.98/205,182.72
  6. Step 6: Final answer
    x = 166,016.34

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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.