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Finding the Fourth Proportional to 109,688.62, 164,512.11 and 53,472.19

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Solution

The fourth proportional to 109,688.62, 164,512.11 and 53,472.19 is: 80,198.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,688.62 : 164,512.11 = 53,472.19 : x
  2. Step 2: Convert to fraction form
    109,688.62/164,512.11 = 53,472.19/x
  3. Step 3: Cross multiply
    109,688.62x = 164,512.11 × 53,472.19
  4. Step 4: Simplify right side
    109,688.62x = 8,796,822,803.22
  5. Step 5: Solve for x
    x = 8,796,822,803.22/109,688.62
  6. Step 6: Final answer
    x = 80,198.14

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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.