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Finding the Fourth Proportional to 233,131.80, 349,623.54 and 75,322.92

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Solution

The fourth proportional to 233,131.80, 349,623.54 and 75,322.92 is: 112,960.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,131.80 : 349,623.54 = 75,322.92 : x
  2. Step 2: Convert to fraction form
    233,131.80/349,623.54 = 75,322.92/x
  3. Step 3: Cross multiply
    233,131.80x = 349,623.54 × 75,322.92
  4. Step 4: Simplify right side
    233,131.80x = 26,334,665,933.54
  5. Step 5: Solve for x
    x = 26,334,665,933.54/233,131.80
  6. Step 6: Final answer
    x = 112,960.42

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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.