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Finding the Fourth Proportional to 146,422.70, 219,634.05 and 35,614.70

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Solution

The fourth proportional to 146,422.70, 219,634.05 and 35,614.70 is: 53,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,422.70 : 219,634.05 = 35,614.70 : x
  2. Step 2: Convert to fraction form
    146,422.70/219,634.05 = 35,614.70/x
  3. Step 3: Cross multiply
    146,422.70x = 219,634.05 × 35,614.70
  4. Step 4: Simplify right side
    146,422.70x = 7,822,200,800.54
  5. Step 5: Solve for x
    x = 7,822,200,800.54/146,422.70
  6. Step 6: Final answer
    x = 53,422.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.