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Finding the Fourth Proportional to 223,584.78, 335,340.75 and 65,776.38

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Solution

The fourth proportional to 223,584.78, 335,340.75 and 65,776.38 is: 98,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,584.78 : 335,340.75 = 65,776.38 : x
  2. Step 2: Convert to fraction form
    223,584.78/335,340.75 = 65,776.38/x
  3. Step 3: Cross multiply
    223,584.78x = 335,340.75 × 65,776.38
  4. Step 4: Simplify right side
    223,584.78x = 22,057,500,601.49
  5. Step 5: Solve for x
    x = 22,057,500,601.49/223,584.78
  6. Step 6: Final answer
    x = 98,653.86

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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.