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Finding the Fourth Proportional to 233,893.07, 322,772.85 and 126,463.07

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Solution

The fourth proportional to 233,893.07, 322,772.85 and 126,463.07 is: 174,519.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,893.07 : 322,772.85 = 126,463.07 : x
  2. Step 2: Convert to fraction form
    233,893.07/322,772.85 = 126,463.07/x
  3. Step 3: Cross multiply
    233,893.07x = 322,772.85 × 126,463.07
  4. Step 4: Simplify right side
    233,893.07x = 40,818,846,330.58
  5. Step 5: Solve for x
    x = 40,818,846,330.58/233,893.07
  6. Step 6: Final answer
    x = 174,519.26

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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.