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Finding the Fourth Proportional to 252,603.50, 378,610 and 140,229.98

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Solution

The fourth proportional to 252,603.50, 378,610 and 140,229.98 is: 210,181.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,603.50 : 378,610 = 140,229.98 : x
  2. Step 2: Convert to fraction form
    252,603.50/378,610 = 140,229.98/x
  3. Step 3: Cross multiply
    252,603.50x = 378,610 × 140,229.98
  4. Step 4: Simplify right side
    252,603.50x = 53,092,472,727.80
  5. Step 5: Solve for x
    x = 53,092,472,727.80/252,603.50
  6. Step 6: Final answer
    x = 210,181.07

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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.