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Finding the Fourth Proportional to 223,324.26, 334,798.08 and 96,869.34

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Solution

The fourth proportional to 223,324.26, 334,798.08 and 96,869.34 is: 145,222.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,324.26 : 334,798.08 = 96,869.34 : x
  2. Step 2: Convert to fraction form
    223,324.26/334,798.08 = 96,869.34/x
  3. Step 3: Cross multiply
    223,324.26x = 334,798.08 × 96,869.34
  4. Step 4: Simplify right side
    223,324.26x = 32,431,669,042.87
  5. Step 5: Solve for x
    x = 32,431,669,042.87/223,324.26
  6. Step 6: Final answer
    x = 145,222.33

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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.