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Finding the Fourth Proportional to 376,042.70, 564,003.52 and 109,740.80

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Solution

The fourth proportional to 376,042.70, 564,003.52 and 109,740.80 is: 164,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,042.70 : 564,003.52 = 109,740.80 : x
  2. Step 2: Convert to fraction form
    376,042.70/564,003.52 = 109,740.80/x
  3. Step 3: Cross multiply
    376,042.70x = 564,003.52 × 109,740.80
  4. Step 4: Simplify right side
    376,042.70x = 61,894,197,487.62
  5. Step 5: Solve for x
    x = 61,894,197,487.62/376,042.70
  6. Step 6: Final answer
    x = 164,593.54

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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.