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Finding the Fourth Proportional to 199,992.32, 276,006.42 and 113,977.61

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Solution

The fourth proportional to 199,992.32, 276,006.42 and 113,977.61 is: 157,298.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,992.32 : 276,006.42 = 113,977.61 : x
  2. Step 2: Convert to fraction form
    199,992.32/276,006.42 = 113,977.61/x
  3. Step 3: Cross multiply
    199,992.32x = 276,006.42 × 113,977.61
  4. Step 4: Simplify right side
    199,992.32x = 31,458,550,716.22
  5. Step 5: Solve for x
    x = 31,458,550,716.22/199,992.32
  6. Step 6: Final answer
    x = 157,298.80

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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.