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Finding the Fourth Proportional to 228,227.38, 314,847.66 and 147,680.91

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Solution

The fourth proportional to 228,227.38, 314,847.66 and 147,680.91 is: 203,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,227.38 : 314,847.66 = 147,680.91 : x
  2. Step 2: Convert to fraction form
    228,227.38/314,847.66 = 147,680.91/x
  3. Step 3: Cross multiply
    228,227.38x = 314,847.66 × 147,680.91
  4. Step 4: Simplify right side
    228,227.38x = 46,496,988,940.17
  5. Step 5: Solve for x
    x = 46,496,988,940.17/228,227.38
  6. Step 6: Final answer
    x = 203,730.99

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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.