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Finding the Fourth Proportional to 251,651.48, 347,280.22 and 144,227.86

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Solution

The fourth proportional to 251,651.48, 347,280.22 and 144,227.86 is: 199,035.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,651.48 : 347,280.22 = 144,227.86 : x
  2. Step 2: Convert to fraction form
    251,651.48/347,280.22 = 144,227.86/x
  3. Step 3: Cross multiply
    251,651.48x = 347,280.22 × 144,227.86
  4. Step 4: Simplify right side
    251,651.48x = 50,087,482,950.93
  5. Step 5: Solve for x
    x = 50,087,482,950.93/251,651.48
  6. Step 6: Final answer
    x = 199,035.12

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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.