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Finding the Fourth Proportional to 191,102.49, 263,722.77 and 105,062.94

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Solution

The fourth proportional to 191,102.49, 263,722.77 and 105,062.94 is: 144,987.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,102.49 : 263,722.77 = 105,062.94 : x
  2. Step 2: Convert to fraction form
    191,102.49/263,722.77 = 105,062.94/x
  3. Step 3: Cross multiply
    191,102.49x = 263,722.77 × 105,062.94
  4. Step 4: Simplify right side
    191,102.49x = 27,707,489,561.14
  5. Step 5: Solve for x
    x = 27,707,489,561.14/191,102.49
  6. Step 6: Final answer
    x = 144,987.59

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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.