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Finding the Fourth Proportional to 189,890.84, 284,584.76 and 100,952.84

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Solution

The fourth proportional to 189,890.84, 284,584.76 and 100,952.84 is: 151,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,890.84 : 284,584.76 = 100,952.84 : x
  2. Step 2: Convert to fraction form
    189,890.84/284,584.76 = 100,952.84/x
  3. Step 3: Cross multiply
    189,890.84x = 284,584.76 × 100,952.84
  4. Step 4: Simplify right side
    189,890.84x = 28,729,639,742.72
  5. Step 5: Solve for x
    x = 28,729,639,742.72/189,890.84
  6. Step 6: Final answer
    x = 151,295.55

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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.