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Finding the Fourth Proportional to 375,670.24, 563,540.10 and 135,844

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Solution

The fourth proportional to 375,670.24, 563,540.10 and 135,844 is: 203,778.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,670.24 : 563,540.10 = 135,844 : x
  2. Step 2: Convert to fraction form
    375,670.24/563,540.10 = 135,844/x
  3. Step 3: Cross multiply
    375,670.24x = 563,540.10 × 135,844
  4. Step 4: Simplify right side
    375,670.24x = 76,553,541,344.40
  5. Step 5: Solve for x
    x = 76,553,541,344.40/375,670.24
  6. Step 6: Final answer
    x = 203,778.56

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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.