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Finding the Fourth Proportional to 223,394.90, 335,185.76 and 97,141.33

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Solution

The fourth proportional to 223,394.90, 335,185.76 and 97,141.33 is: 145,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,394.90 : 335,185.76 = 97,141.33 : x
  2. Step 2: Convert to fraction form
    223,394.90/335,185.76 = 97,141.33/x
  3. Step 3: Cross multiply
    223,394.90x = 335,185.76 × 97,141.33
  4. Step 4: Simplify right side
    223,394.90x = 32,560,389,299.88
  5. Step 5: Solve for x
    x = 32,560,389,299.88/223,394.90
  6. Step 6: Final answer
    x = 145,752.61

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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.