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Finding the Fourth Proportional to 153,824.92, 212,278.42 and 84,914.44

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Solution

The fourth proportional to 153,824.92, 212,278.42 and 84,914.44 is: 117,181.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,824.92 : 212,278.42 = 84,914.44 : x
  2. Step 2: Convert to fraction form
    153,824.92/212,278.42 = 84,914.44/x
  3. Step 3: Cross multiply
    153,824.92x = 212,278.42 × 84,914.44
  4. Step 4: Simplify right side
    153,824.92x = 18,025,503,158.38
  5. Step 5: Solve for x
    x = 18,025,503,158.38/153,824.92
  6. Step 6: Final answer
    x = 117,181.94

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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.