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Finding the Fourth Proportional to 233,512.34, 350,294.49 and 100,405.98

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Solution

The fourth proportional to 233,512.34, 350,294.49 and 100,405.98 is: 150,620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,512.34 : 350,294.49 = 100,405.98 : x
  2. Step 2: Convert to fraction form
    233,512.34/350,294.49 = 100,405.98/x
  3. Step 3: Cross multiply
    233,512.34x = 350,294.49 × 100,405.98
  4. Step 4: Simplify right side
    233,512.34x = 35,171,661,557.05
  5. Step 5: Solve for x
    x = 35,171,661,557.05/233,512.34
  6. Step 6: Final answer
    x = 150,620.14

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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.