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Finding the Fourth Proportional to 231,832.70, 347,554.65 and 121,024.70

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Solution

The fourth proportional to 231,832.70, 347,554.65 and 121,024.70 is: 181,435.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,832.70 : 347,554.65 = 121,024.70 : x
  2. Step 2: Convert to fraction form
    231,832.70/347,554.65 = 121,024.70/x
  3. Step 3: Cross multiply
    231,832.70x = 347,554.65 × 121,024.70
  4. Step 4: Simplify right side
    231,832.70x = 42,062,697,249.86
  5. Step 5: Solve for x
    x = 42,062,697,249.86/231,832.70
  6. Step 6: Final answer
    x = 181,435.57

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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.