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Finding the Fourth Proportional to 233,922.75, 322,793.77 and 138,412.71

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Solution

The fourth proportional to 233,922.75, 322,793.77 and 138,412.71 is: 190,997.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,922.75 : 322,793.77 = 138,412.71 : x
  2. Step 2: Convert to fraction form
    233,922.75/322,793.77 = 138,412.71/x
  3. Step 3: Cross multiply
    233,922.75x = 322,793.77 × 138,412.71
  4. Step 4: Simplify right side
    233,922.75x = 44,678,760,476.82
  5. Step 5: Solve for x
    x = 44,678,760,476.82/233,922.75
  6. Step 6: Final answer
    x = 190,997.93

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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.