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Finding the Fourth Proportional to 215,216.38, 296,821.74 and 191,035

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Solution

The fourth proportional to 215,216.38, 296,821.74 and 191,035 is: 263,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,216.38 : 296,821.74 = 191,035 : x
  2. Step 2: Convert to fraction form
    215,216.38/296,821.74 = 191,035/x
  3. Step 3: Cross multiply
    215,216.38x = 296,821.74 × 191,035
  4. Step 4: Simplify right side
    215,216.38x = 56,703,341,100.90
  5. Step 5: Solve for x
    x = 56,703,341,100.90/215,216.38
  6. Step 6: Final answer
    x = 263,471.31

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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.