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Finding the Fourth Proportional to 233,731.20, 350,467.20 and 100,588.80

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Solution

The fourth proportional to 233,731.20, 350,467.20 and 100,588.80 is: 150,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,731.20 : 350,467.20 = 100,588.80 : x
  2. Step 2: Convert to fraction form
    233,731.20/350,467.20 = 100,588.80/x
  3. Step 3: Cross multiply
    233,731.20x = 350,467.20 × 100,588.80
  4. Step 4: Simplify right side
    233,731.20x = 35,253,075,087.36
  5. Step 5: Solve for x
    x = 35,253,075,087.36/233,731.20
  6. Step 6: Final answer
    x = 150,827.43

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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.