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Finding the Fourth Proportional to 232,842.01, 349,112.78 and 111,196.71

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Solution

The fourth proportional to 232,842.01, 349,112.78 and 111,196.71 is: 166,723.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,842.01 : 349,112.78 = 111,196.71 : x
  2. Step 2: Convert to fraction form
    232,842.01/349,112.78 = 111,196.71/x
  3. Step 3: Cross multiply
    232,842.01x = 349,112.78 × 111,196.71
  4. Step 4: Simplify right side
    232,842.01x = 38,820,190,809.39
  5. Step 5: Solve for x
    x = 38,820,190,809.39/232,842.01
  6. Step 6: Final answer
    x = 166,723.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.