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Finding the Fourth Proportional to 228,451.14, 315,218.82 and 147,867.48

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Solution

The fourth proportional to 228,451.14, 315,218.82 and 147,867.48 is: 204,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,451.14 : 315,218.82 = 147,867.48 : x
  2. Step 2: Convert to fraction form
    228,451.14/315,218.82 = 147,867.48/x
  3. Step 3: Cross multiply
    228,451.14x = 315,218.82 × 147,867.48
  4. Step 4: Simplify right side
    228,451.14x = 46,610,612,561.97
  5. Step 5: Solve for x
    x = 46,610,612,561.97/228,451.14
  6. Step 6: Final answer
    x = 204,028.80

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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.