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Finding the Fourth Proportional to 220,460.52, 304,234.02 and 119,858.52

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Solution

The fourth proportional to 220,460.52, 304,234.02 and 119,858.52 is: 165,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,460.52 : 304,234.02 = 119,858.52 : x
  2. Step 2: Convert to fraction form
    220,460.52/304,234.02 = 119,858.52/x
  3. Step 3: Cross multiply
    220,460.52x = 304,234.02 × 119,858.52
  4. Step 4: Simplify right side
    220,460.52x = 36,465,039,370.85
  5. Step 5: Solve for x
    x = 36,465,039,370.85/220,460.52
  6. Step 6: Final answer
    x = 165,403.94

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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.