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Finding the Fourth Proportional to 189,924.56, 284,928.96 and 71,596.92

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Solution

The fourth proportional to 189,924.56, 284,928.96 and 71,596.92 is: 107,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,924.56 : 284,928.96 = 71,596.92 : x
  2. Step 2: Convert to fraction form
    189,924.56/284,928.96 = 71,596.92/x
  3. Step 3: Cross multiply
    189,924.56x = 284,928.96 × 71,596.92
  4. Step 4: Simplify right side
    189,924.56x = 20,400,035,954.80
  5. Step 5: Solve for x
    x = 20,400,035,954.80/189,924.56
  6. Step 6: Final answer
    x = 107,411.26

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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.