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Finding the Fourth Proportional to 223,149.93, 334,724.82 and 65,378.33

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Solution

The fourth proportional to 223,149.93, 334,724.82 and 65,378.33 is: 98,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,149.93 : 334,724.82 = 65,378.33 : x
  2. Step 2: Convert to fraction form
    223,149.93/334,724.82 = 65,378.33/x
  3. Step 3: Cross multiply
    223,149.93x = 334,724.82 × 65,378.33
  4. Step 4: Simplify right side
    223,149.93x = 21,883,749,741.15
  5. Step 5: Solve for x
    x = 21,883,749,741.15/223,149.93
  6. Step 6: Final answer
    x = 98,067.47

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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.