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Finding the Fourth Proportional to 233,682.26, 322,473.87 and 147,687.39

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Solution

The fourth proportional to 233,682.26, 322,473.87 and 147,687.39 is: 203,803.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,682.26 : 322,473.87 = 147,687.39 : x
  2. Step 2: Convert to fraction form
    233,682.26/322,473.87 = 147,687.39/x
  3. Step 3: Cross multiply
    233,682.26x = 322,473.87 × 147,687.39
  4. Step 4: Simplify right side
    233,682.26x = 47,625,324,203.50
  5. Step 5: Solve for x
    x = 47,625,324,203.50/233,682.26
  6. Step 6: Final answer
    x = 203,803.77

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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.