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Finding the Fourth Proportional to 146,564.80, 219,861.12 and 39,950.08

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Solution

The fourth proportional to 146,564.80, 219,861.12 and 39,950.08 is: 59,928.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,564.80 : 219,861.12 = 39,950.08 : x
  2. Step 2: Convert to fraction form
    146,564.80/219,861.12 = 39,950.08/x
  3. Step 3: Cross multiply
    146,564.80x = 219,861.12 × 39,950.08
  4. Step 4: Simplify right side
    146,564.80x = 8,783,469,332.89
  5. Step 5: Solve for x
    x = 8,783,469,332.89/146,564.80
  6. Step 6: Final answer
    x = 59,928.91

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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.