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Finding the Fourth Proportional to 174,357.33, 261,501.54 and 47,964.96

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Solution

The fourth proportional to 174,357.33, 261,501.54 and 47,964.96 is: 71,937.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,357.33 : 261,501.54 = 47,964.96 : x
  2. Step 2: Convert to fraction form
    174,357.33/261,501.54 = 47,964.96/x
  3. Step 3: Cross multiply
    174,357.33x = 261,501.54 × 47,964.96
  4. Step 4: Simplify right side
    174,357.33x = 12,542,910,906.04
  5. Step 5: Solve for x
    x = 12,542,910,906.04/174,357.33
  6. Step 6: Final answer
    x = 71,937.96

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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.