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Finding the Fourth Proportional to 223,896.20, 335,729.10 and 83,582.60

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Solution

The fourth proportional to 223,896.20, 335,729.10 and 83,582.60 is: 125,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,896.20 : 335,729.10 = 83,582.60 : x
  2. Step 2: Convert to fraction form
    223,896.20/335,729.10 = 83,582.60/x
  3. Step 3: Cross multiply
    223,896.20x = 335,729.10 × 83,582.60
  4. Step 4: Simplify right side
    223,896.20x = 28,061,111,073.66
  5. Step 5: Solve for x
    x = 28,061,111,073.66/223,896.20
  6. Step 6: Final answer
    x = 125,330.89

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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.