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Finding the Fourth Proportional to 299,152.14, 412,837.73 and 163,188.38

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Solution

The fourth proportional to 299,152.14, 412,837.73 and 163,188.38 is: 225,204.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,152.14 : 412,837.73 = 163,188.38 : x
  2. Step 2: Convert to fraction form
    299,152.14/412,837.73 = 163,188.38/x
  3. Step 3: Cross multiply
    299,152.14x = 412,837.73 × 163,188.38
  4. Step 4: Simplify right side
    299,152.14x = 67,370,317,481.45
  5. Step 5: Solve for x
    x = 67,370,317,481.45/299,152.14
  6. Step 6: Final answer
    x = 225,204.20

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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.