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Finding the Fourth Proportional to 147,156.70, 220,767.94 and 53,662.44

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Solution

The fourth proportional to 147,156.70, 220,767.94 and 53,662.44 is: 80,505.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,156.70 : 220,767.94 = 53,662.44 : x
  2. Step 2: Convert to fraction form
    147,156.70/220,767.94 = 53,662.44/x
  3. Step 3: Cross multiply
    147,156.70x = 220,767.94 × 53,662.44
  4. Step 4: Simplify right side
    147,156.70x = 11,846,946,334.17
  5. Step 5: Solve for x
    x = 11,846,946,334.17/147,156.70
  6. Step 6: Final answer
    x = 80,505.65

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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.