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Finding the Fourth Proportional to 205,019.20, 282,954.24 and 120,170.24

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Solution

The fourth proportional to 205,019.20, 282,954.24 and 120,170.24 is: 165,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,019.20 : 282,954.24 = 120,170.24 : x
  2. Step 2: Convert to fraction form
    205,019.20/282,954.24 = 120,170.24/x
  3. Step 3: Cross multiply
    205,019.20x = 282,954.24 × 120,170.24
  4. Step 4: Simplify right side
    205,019.20x = 34,002,678,929.82
  5. Step 5: Solve for x
    x = 34,002,678,929.82/205,019.20
  6. Step 6: Final answer
    x = 165,851.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.