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Finding the Fourth Proportional to 147,153.69, 220,763.44 and 53,659.44

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Solution

The fourth proportional to 147,153.69, 220,763.44 and 53,659.44 is: 80,501.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,153.69 : 220,763.44 = 53,659.44 : x
  2. Step 2: Convert to fraction form
    147,153.69/220,763.44 = 53,659.44/x
  3. Step 3: Cross multiply
    147,153.69x = 220,763.44 × 53,659.44
  4. Step 4: Simplify right side
    147,153.69x = 11,846,042,562.87
  5. Step 5: Solve for x
    x = 11,846,042,562.87/147,153.69
  6. Step 6: Final answer
    x = 80,501.16

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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.