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Finding the Fourth Proportional to 223,608.24, 335,296.80 and 65,816.28

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Solution

The fourth proportional to 223,608.24, 335,296.80 and 65,816.28 is: 98,690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,608.24 : 335,296.80 = 65,816.28 : x
  2. Step 2: Convert to fraction form
    223,608.24/335,296.80 = 65,816.28/x
  3. Step 3: Cross multiply
    223,608.24x = 335,296.80 × 65,816.28
  4. Step 4: Simplify right side
    223,608.24x = 22,067,988,071.90
  5. Step 5: Solve for x
    x = 22,067,988,071.90/223,608.24
  6. Step 6: Final answer
    x = 98,690.41

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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.