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Finding the Fourth Proportional to 191,252, 263,927.76 and 111,764

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Solution

The fourth proportional to 191,252, 263,927.76 and 111,764 is: 154,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,252 : 263,927.76 = 111,764 : x
  2. Step 2: Convert to fraction form
    191,252/263,927.76 = 111,764/x
  3. Step 3: Cross multiply
    191,252x = 263,927.76 × 111,764
  4. Step 4: Simplify right side
    191,252x = 29,497,622,168.64
  5. Step 5: Solve for x
    x = 29,497,622,168.64/191,252
  6. Step 6: Final answer
    x = 154,234.32

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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.