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Finding the Fourth Proportional to 191,642.44, 264,498.06 and 106,786.84

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Solution

The fourth proportional to 191,642.44, 264,498.06 and 106,786.84 is: 147,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,642.44 : 264,498.06 = 106,786.84 : x
  2. Step 2: Convert to fraction form
    191,642.44/264,498.06 = 106,786.84/x
  3. Step 3: Cross multiply
    191,642.44x = 264,498.06 × 106,786.84
  4. Step 4: Simplify right side
    191,642.44x = 28,244,912,013.53
  5. Step 5: Solve for x
    x = 28,244,912,013.53/191,642.44
  6. Step 6: Final answer
    x = 147,383.39

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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.