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Finding the Fourth Proportional to 83,198.99, 114,826.56 and 47,392.40

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Solution

The fourth proportional to 83,198.99, 114,826.56 and 47,392.40 is: 65,408.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198.99 : 114,826.56 = 47,392.40 : x
  2. Step 2: Convert to fraction form
    83,198.99/114,826.56 = 47,392.40/x
  3. Step 3: Cross multiply
    83,198.99x = 114,826.56 × 47,392.40
  4. Step 4: Simplify right side
    83,198.99x = 5,441,906,262.14
  5. Step 5: Solve for x
    x = 5,441,906,262.14/83,198.99
  6. Step 6: Final answer
    x = 65,408.32

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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.