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Finding the Fourth Proportional to 174,301.68, 261,409.46 and 47,935.79

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Solution

The fourth proportional to 174,301.68, 261,409.46 and 47,935.79 is: 71,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,301.68 : 261,409.46 = 47,935.79 : x
  2. Step 2: Convert to fraction form
    174,301.68/261,409.46 = 47,935.79/x
  3. Step 3: Cross multiply
    174,301.68x = 261,409.46 × 47,935.79
  4. Step 4: Simplify right side
    174,301.68x = 12,530,870,018.95
  5. Step 5: Solve for x
    x = 12,530,870,018.95/174,301.68
  6. Step 6: Final answer
    x = 71,891.85

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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.