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Finding the Fourth Proportional to 146,512.70, 219,769.05 and 53,006.30

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Solution

The fourth proportional to 146,512.70, 219,769.05 and 53,006.30 is: 79,509.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,512.70 : 219,769.05 = 53,006.30 : x
  2. Step 2: Convert to fraction form
    146,512.70/219,769.05 = 53,006.30/x
  3. Step 3: Cross multiply
    146,512.70x = 219,769.05 × 53,006.30
  4. Step 4: Simplify right side
    146,512.70x = 11,649,144,195.02
  5. Step 5: Solve for x
    x = 11,649,144,195.02/146,512.70
  6. Step 6: Final answer
    x = 79,509.45

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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.