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Finding the Fourth Proportional to 191,713.97, 264,566.33 and 111,189.24

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Solution

The fourth proportional to 191,713.97, 264,566.33 and 111,189.24 is: 153,441.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,713.97 : 264,566.33 = 111,189.24 : x
  2. Step 2: Convert to fraction form
    191,713.97/264,566.33 = 111,189.24/x
  3. Step 3: Cross multiply
    191,713.97x = 264,566.33 × 111,189.24
  4. Step 4: Simplify right side
    191,713.97x = 29,416,929,162.29
  5. Step 5: Solve for x
    x = 29,416,929,162.29/191,713.97
  6. Step 6: Final answer
    x = 153,441.76

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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.