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Finding the Fourth Proportional to 231,161.88, 346,770.45 and 98,024.84

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Solution

The fourth proportional to 231,161.88, 346,770.45 and 98,024.84 is: 147,048.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,161.88 : 346,770.45 = 98,024.84 : x
  2. Step 2: Convert to fraction form
    231,161.88/346,770.45 = 98,024.84/x
  3. Step 3: Cross multiply
    231,161.88x = 346,770.45 × 98,024.84
  4. Step 4: Simplify right side
    231,161.88x = 33,992,116,144.13
  5. Step 5: Solve for x
    x = 33,992,116,144.13/231,161.88
  6. Step 6: Final answer
    x = 147,048.97

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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.