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Finding the Fourth Proportional to 146,506.62, 219,759.94 and 52,990.50

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Solution

The fourth proportional to 146,506.62, 219,759.94 and 52,990.50 is: 79,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,506.62 : 219,759.94 = 52,990.50 : x
  2. Step 2: Convert to fraction form
    146,506.62/219,759.94 = 52,990.50/x
  3. Step 3: Cross multiply
    146,506.62x = 219,759.94 × 52,990.50
  4. Step 4: Simplify right side
    146,506.62x = 11,645,189,100.57
  5. Step 5: Solve for x
    x = 11,645,189,100.57/146,506.62
  6. Step 6: Final answer
    x = 79,485.75

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