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Finding the Fourth Proportional to 223,382.51, 335,098.26 and 96,935.84

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Solution

The fourth proportional to 223,382.51, 335,098.26 and 96,935.84 is: 145,414.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,382.51 : 335,098.26 = 96,935.84 : x
  2. Step 2: Convert to fraction form
    223,382.51/335,098.26 = 96,935.84/x
  3. Step 3: Cross multiply
    223,382.51x = 335,098.26 × 96,935.84
  4. Step 4: Simplify right side
    223,382.51x = 32,483,029,640.15
  5. Step 5: Solve for x
    x = 32,483,029,640.15/223,382.51
  6. Step 6: Final answer
    x = 145,414.39

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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.