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Finding the Fourth Proportional to 146,283.62, 219,294.06 and 52,767.50

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Solution

The fourth proportional to 146,283.62, 219,294.06 and 52,767.50 is: 79,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,283.62 : 219,294.06 = 52,767.50 : x
  2. Step 2: Convert to fraction form
    146,283.62/219,294.06 = 52,767.50/x
  3. Step 3: Cross multiply
    146,283.62x = 219,294.06 × 52,767.50
  4. Step 4: Simplify right side
    146,283.62x = 11,571,599,311.05
  5. Step 5: Solve for x
    x = 11,571,599,311.05/146,283.62
  6. Step 6: Final answer
    x = 79,103.86

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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.