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Finding the Fourth Proportional to 297,148.32, 410,057.64 and 161,178.48

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Solution

The fourth proportional to 297,148.32, 410,057.64 and 161,178.48 is: 222,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,148.32 : 410,057.64 = 161,178.48 : x
  2. Step 2: Convert to fraction form
    297,148.32/410,057.64 = 161,178.48/x
  3. Step 3: Cross multiply
    297,148.32x = 410,057.64 × 161,178.48
  4. Step 4: Simplify right side
    297,148.32x = 66,092,467,127.59
  5. Step 5: Solve for x
    x = 66,092,467,127.59/297,148.32
  6. Step 6: Final answer
    x = 222,422.48

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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.