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Finding the Fourth Proportional to 227,882.54, 314,211.16 and 155,328.39

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Solution

The fourth proportional to 227,882.54, 314,211.16 and 155,328.39 is: 214,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,882.54 : 314,211.16 = 155,328.39 : x
  2. Step 2: Convert to fraction form
    227,882.54/314,211.16 = 155,328.39/x
  3. Step 3: Cross multiply
    227,882.54x = 314,211.16 × 155,328.39
  4. Step 4: Simplify right side
    227,882.54x = 48,805,912,253.60
  5. Step 5: Solve for x
    x = 48,805,912,253.60/227,882.54
  6. Step 6: Final answer
    x = 214,171.36

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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.