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Finding the Fourth Proportional to 375,198.34, 517,773.11 and 203,116.25

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Solution

The fourth proportional to 375,198.34, 517,773.11 and 203,116.25 is: 280,300.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,198.34 : 517,773.11 = 203,116.25 : x
  2. Step 2: Convert to fraction form
    375,198.34/517,773.11 = 203,116.25/x
  3. Step 3: Cross multiply
    375,198.34x = 517,773.11 × 203,116.25
  4. Step 4: Simplify right side
    375,198.34x = 105,168,131,438.46
  5. Step 5: Solve for x
    x = 105,168,131,438.46/375,198.34
  6. Step 6: Final answer
    x = 280,300.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.