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Finding the Fourth Proportional to 378,045.30, 567,003.15 and 141,266.10

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Solution

The fourth proportional to 378,045.30, 567,003.15 and 141,266.10 is: 211,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,045.30 : 567,003.15 = 141,266.10 : x
  2. Step 2: Convert to fraction form
    378,045.30/567,003.15 = 141,266.10/x
  3. Step 3: Cross multiply
    378,045.30x = 567,003.15 × 141,266.10
  4. Step 4: Simplify right side
    378,045.30x = 80,098,323,688.22
  5. Step 5: Solve for x
    x = 80,098,323,688.22/378,045.30
  6. Step 6: Final answer
    x = 211,874.94

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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.