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Finding the Fourth Proportional to 376,906.40, 565,165.20 and 140,127.20

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Solution

The fourth proportional to 376,906.40, 565,165.20 and 140,127.20 is: 210,118.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,906.40 : 565,165.20 = 140,127.20 : x
  2. Step 2: Convert to fraction form
    376,906.40/565,165.20 = 140,127.20/x
  3. Step 3: Cross multiply
    376,906.40x = 565,165.20 × 140,127.20
  4. Step 4: Simplify right side
    376,906.40x = 79,195,017,013.44
  5. Step 5: Solve for x
    x = 79,195,017,013.44/376,906.40
  6. Step 6: Final answer
    x = 210,118.53

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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.