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Finding the Fourth Proportional to 233,953.75, 322,857.14 and 126,523.78

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Solution

The fourth proportional to 233,953.75, 322,857.14 and 126,523.78 is: 174,603.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,953.75 : 322,857.14 = 126,523.78 : x
  2. Step 2: Convert to fraction form
    233,953.75/322,857.14 = 126,523.78/x
  3. Step 3: Cross multiply
    233,953.75x = 322,857.14 × 126,523.78
  4. Step 4: Simplify right side
    233,953.75x = 40,849,103,505.88
  5. Step 5: Solve for x
    x = 40,849,103,505.88/233,953.75
  6. Step 6: Final answer
    x = 174,603.33

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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.