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Finding the Fourth Proportional to 188,846.96, 260,609.78 and 103,964.02

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Solution

The fourth proportional to 188,846.96, 260,609.78 and 103,964.02 is: 143,470.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,846.96 : 260,609.78 = 103,964.02 : x
  2. Step 2: Convert to fraction form
    188,846.96/260,609.78 = 103,964.02/x
  3. Step 3: Cross multiply
    188,846.96x = 260,609.78 × 103,964.02
  4. Step 4: Simplify right side
    188,846.96x = 27,094,039,208.77
  5. Step 5: Solve for x
    x = 27,094,039,208.77/188,846.96
  6. Step 6: Final answer
    x = 143,470.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.