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Finding the Fourth Proportional to 191,910.74, 264,849.84 and 111,338.24

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Solution

The fourth proportional to 191,910.74, 264,849.84 and 111,338.24 is: 153,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,910.74 : 264,849.84 = 111,338.24 : x
  2. Step 2: Convert to fraction form
    191,910.74/264,849.84 = 111,338.24/x
  3. Step 3: Cross multiply
    191,910.74x = 264,849.84 × 111,338.24
  4. Step 4: Simplify right side
    191,910.74x = 29,487,913,725.63
  5. Step 5: Solve for x
    x = 29,487,913,725.63/191,910.74
  6. Step 6: Final answer
    x = 153,654.32

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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.