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Finding the Fourth Proportional to 233,080.08, 349,620.44 and 99,874

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Solution

The fourth proportional to 233,080.08, 349,620.44 and 99,874 is: 149,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,080.08 : 349,620.44 = 99,874 : x
  2. Step 2: Convert to fraction form
    233,080.08/349,620.44 = 99,874/x
  3. Step 3: Cross multiply
    233,080.08x = 349,620.44 × 99,874
  4. Step 4: Simplify right side
    233,080.08x = 34,917,991,824.56
  5. Step 5: Solve for x
    x = 34,917,991,824.56/233,080.08
  6. Step 6: Final answer
    x = 149,811.14

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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.