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Finding the Fourth Proportional to 232,793.69, 349,633.40 and 144,663.03

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Solution

The fourth proportional to 232,793.69, 349,633.40 and 144,663.03 is: 217,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,793.69 : 349,633.40 = 144,663.03 : x
  2. Step 2: Convert to fraction form
    232,793.69/349,633.40 = 144,663.03/x
  3. Step 3: Cross multiply
    232,793.69x = 349,633.40 × 144,663.03
  4. Step 4: Simplify right side
    232,793.69x = 50,579,026,309.89
  5. Step 5: Solve for x
    x = 50,579,026,309.89/232,793.69
  6. Step 6: Final answer
    x = 217,269.75

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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.