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Finding the Fourth Proportional to 189,774.58, 261,889.17 and 109,200.49

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Solution

The fourth proportional to 189,774.58, 261,889.17 and 109,200.49 is: 150,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,774.58 : 261,889.17 = 109,200.49 : x
  2. Step 2: Convert to fraction form
    189,774.58/261,889.17 = 109,200.49/x
  3. Step 3: Cross multiply
    189,774.58x = 261,889.17 × 109,200.49
  4. Step 4: Simplify right side
    189,774.58x = 28,598,425,546.85
  5. Step 5: Solve for x
    x = 28,598,425,546.85/189,774.58
  6. Step 6: Final answer
    x = 150,696.82

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1.5x scale

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.