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Finding the Fourth Proportional to 232,644.96, 349,006.32 and 92,404.80

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Solution

The fourth proportional to 232,644.96, 349,006.32 and 92,404.80 is: 138,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,644.96 : 349,006.32 = 92,404.80 : x
  2. Step 2: Convert to fraction form
    232,644.96/349,006.32 = 92,404.80/x
  3. Step 3: Cross multiply
    232,644.96x = 349,006.32 × 92,404.80
  4. Step 4: Simplify right side
    232,644.96x = 32,249,859,198.34
  5. Step 5: Solve for x
    x = 32,249,859,198.34/232,644.96
  6. Step 6: Final answer
    x = 138,622.64

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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.