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Finding the Fourth Proportional to 228,451.38, 315,219.14 and 147,867.72

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Solution

The fourth proportional to 228,451.38, 315,219.14 and 147,867.72 is: 204,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,451.38 : 315,219.14 = 147,867.72 : x
  2. Step 2: Convert to fraction form
    228,451.38/315,219.14 = 147,867.72/x
  3. Step 3: Cross multiply
    228,451.38x = 315,219.14 × 147,867.72
  4. Step 4: Simplify right side
    228,451.38x = 46,610,733,216.73
  5. Step 5: Solve for x
    x = 46,610,733,216.73/228,451.38
  6. Step 6: Final answer
    x = 204,029.12

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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.