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Finding the Fourth Proportional to 233,511, 350,233.68 and 75,740.82

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Solution

The fourth proportional to 233,511, 350,233.68 and 75,740.82 is: 113,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,511 : 350,233.68 = 75,740.82 : x
  2. Step 2: Convert to fraction form
    233,511/350,233.68 = 75,740.82/x
  3. Step 3: Cross multiply
    233,511x = 350,233.68 × 75,740.82
  4. Step 4: Simplify right side
    233,511x = 26,526,986,114.82
  5. Step 5: Solve for x
    x = 26,526,986,114.82/233,511
  6. Step 6: Final answer
    x = 113,600.58

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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.