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Finding the Fourth Proportional to 270,296.85, 405,647.24 and 101,983.17

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Solution

The fourth proportional to 270,296.85, 405,647.24 and 101,983.17 is: 153,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,296.85 : 405,647.24 = 101,983.17 : x
  2. Step 2: Convert to fraction form
    270,296.85/405,647.24 = 101,983.17/x
  3. Step 3: Cross multiply
    270,296.85x = 405,647.24 × 101,983.17
  4. Step 4: Simplify right side
    270,296.85x = 41,369,190,927.04
  5. Step 5: Solve for x
    x = 41,369,190,927.04/270,296.85
  6. Step 6: Final answer
    x = 153,050.95

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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.