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Finding the Fourth Proportional to 104,193.84, 156,297.96 and 41,864.40

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Solution

The fourth proportional to 104,193.84, 156,297.96 and 41,864.40 is: 62,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,193.84 : 156,297.96 = 41,864.40 : x
  2. Step 2: Convert to fraction form
    104,193.84/156,297.96 = 41,864.40/x
  3. Step 3: Cross multiply
    104,193.84x = 156,297.96 × 41,864.40
  4. Step 4: Simplify right side
    104,193.84x = 6,543,320,316.62
  5. Step 5: Solve for x
    x = 6,543,320,316.62/104,193.84
  6. Step 6: Final answer
    x = 62,799.49

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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.