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Finding the Fourth Proportional to 191,334, 264,040.92 and 111,846

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Solution

The fourth proportional to 191,334, 264,040.92 and 111,846 is: 154,347.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,334 : 264,040.92 = 111,846 : x
  2. Step 2: Convert to fraction form
    191,334/264,040.92 = 111,846/x
  3. Step 3: Cross multiply
    191,334x = 264,040.92 × 111,846
  4. Step 4: Simplify right side
    191,334x = 29,531,920,738.32
  5. Step 5: Solve for x
    x = 29,531,920,738.32/191,334
  6. Step 6: Final answer
    x = 154,347.48

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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.