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Finding the Fourth Proportional to 299,084.52, 412,725.24 and 164,948.52

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Solution

The fourth proportional to 299,084.52, 412,725.24 and 164,948.52 is: 227,622.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,084.52 : 412,725.24 = 164,948.52 : x
  2. Step 2: Convert to fraction form
    299,084.52/412,725.24 = 164,948.52/x
  3. Step 3: Cross multiply
    299,084.52x = 412,725.24 × 164,948.52
  4. Step 4: Simplify right side
    299,084.52x = 68,078,417,504.64
  5. Step 5: Solve for x
    x = 68,078,417,504.64/299,084.52
  6. Step 6: Final answer
    x = 227,622.67

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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.