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Finding the Fourth Proportional to 146,286.96, 219,430.44 and 35,478

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Solution

The fourth proportional to 146,286.96, 219,430.44 and 35,478 is: 53,217

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,286.96 : 219,430.44 = 35,478 : x
  2. Step 2: Convert to fraction form
    146,286.96/219,430.44 = 35,478/x
  3. Step 3: Cross multiply
    146,286.96x = 219,430.44 × 35,478
  4. Step 4: Simplify right side
    146,286.96x = 7,784,953,150.32
  5. Step 5: Solve for x
    x = 7,784,953,150.32/146,286.96
  6. Step 6: Final answer
    x = 53,217

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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.