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Finding the Fourth Proportional to 146,962.92, 220,542.68 and 53,468.67

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Solution

The fourth proportional to 146,962.92, 220,542.68 and 53,468.67 is: 80,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,962.92 : 220,542.68 = 53,468.67 : x
  2. Step 2: Convert to fraction form
    146,962.92/220,542.68 = 53,468.67/x
  3. Step 3: Cross multiply
    146,962.92x = 220,542.68 × 53,468.67
  4. Step 4: Simplify right side
    146,962.92x = 11,792,123,777.84
  5. Step 5: Solve for x
    x = 11,792,123,777.84/146,962.92
  6. Step 6: Final answer
    x = 80,238.77

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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.