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Finding the Fourth Proportional to 377,143.92, 565,962 and 140,675.76

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Solution

The fourth proportional to 377,143.92, 565,962 and 140,675.76 is: 211,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,143.92 : 565,962 = 140,675.76 : x
  2. Step 2: Convert to fraction form
    377,143.92/565,962 = 140,675.76/x
  3. Step 3: Cross multiply
    377,143.92x = 565,962 × 140,675.76
  4. Step 4: Simplify right side
    377,143.92x = 79,617,134,481.12
  5. Step 5: Solve for x
    x = 79,617,134,481.12/377,143.92
  6. Step 6: Final answer
    x = 211,105.44

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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.