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Finding the Fourth Proportional to 233,729.21, 350,652.96 and 65,249.42

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Solution

The fourth proportional to 233,729.21, 350,652.96 and 65,249.42 is: 97,890.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,729.21 : 350,652.96 = 65,249.42 : x
  2. Step 2: Convert to fraction form
    233,729.21/350,652.96 = 65,249.42/x
  3. Step 3: Cross multiply
    233,729.21x = 350,652.96 × 65,249.42
  4. Step 4: Simplify right side
    233,729.21x = 22,879,900,508.02
  5. Step 5: Solve for x
    x = 22,879,900,508.02/233,729.21
  6. Step 6: Final answer
    x = 97,890.63

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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.