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Finding the Fourth Proportional to 228,467.17, 315,284.64 and 127,865.17

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Solution

The fourth proportional to 228,467.17, 315,284.64 and 127,865.17 is: 176,453.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,467.17 : 315,284.64 = 127,865.17 : x
  2. Step 2: Convert to fraction form
    228,467.17/315,284.64 = 127,865.17/x
  3. Step 3: Cross multiply
    228,467.17x = 315,284.64 × 127,865.17
  4. Step 4: Simplify right side
    228,467.17x = 40,313,924,091.99
  5. Step 5: Solve for x
    x = 40,313,924,091.99/228,467.17
  6. Step 6: Final answer
    x = 176,453.90

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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.