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Finding the Fourth Proportional to 109,882.80, 164,629.80 and 102,884.40

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Solution

The fourth proportional to 109,882.80, 164,629.80 and 102,884.40 is: 154,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,882.80 : 164,629.80 = 102,884.40 : x
  2. Step 2: Convert to fraction form
    109,882.80/164,629.80 = 102,884.40/x
  3. Step 3: Cross multiply
    109,882.80x = 164,629.80 × 102,884.40
  4. Step 4: Simplify right side
    109,882.80x = 16,937,838,195.12
  5. Step 5: Solve for x
    x = 16,937,838,195.12/109,882.80
  6. Step 6: Final answer
    x = 154,144.58

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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.