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Finding the Fourth Proportional to 159,492.82, 239,286.02 and 47,176

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Solution

The fourth proportional to 159,492.82, 239,286.02 and 47,176 is: 70,777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,492.82 : 239,286.02 = 47,176 : x
  2. Step 2: Convert to fraction form
    159,492.82/239,286.02 = 47,176/x
  3. Step 3: Cross multiply
    159,492.82x = 239,286.02 × 47,176
  4. Step 4: Simplify right side
    159,492.82x = 11,288,557,279.52
  5. Step 5: Solve for x
    x = 11,288,557,279.52/159,492.82
  6. Step 6: Final answer
    x = 70,777.84

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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.