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Finding the Fourth Proportional to 215,138.32, 296,886.84 and 119,642.84

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Solution

The fourth proportional to 215,138.32, 296,886.84 and 119,642.84 is: 165,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,138.32 : 296,886.84 = 119,642.84 : x
  2. Step 2: Convert to fraction form
    215,138.32/296,886.84 = 119,642.84/x
  3. Step 3: Cross multiply
    215,138.32x = 296,886.84 × 119,642.84
  4. Step 4: Simplify right side
    215,138.32x = 35,520,384,696.23
  5. Step 5: Solve for x
    x = 35,520,384,696.23/215,138.32
  6. Step 6: Final answer
    x = 165,104.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.