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Finding the Fourth Proportional to 165,838.05, 248,754.78 and 99,296.55

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Solution

The fourth proportional to 165,838.05, 248,754.78 and 99,296.55 is: 148,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,838.05 : 248,754.78 = 99,296.55 : x
  2. Step 2: Convert to fraction form
    165,838.05/248,754.78 = 99,296.55/x
  3. Step 3: Cross multiply
    165,838.05x = 248,754.78 × 99,296.55
  4. Step 4: Simplify right side
    165,838.05x = 24,700,491,450.01
  5. Step 5: Solve for x
    x = 24,700,491,450.01/165,838.05
  6. Step 6: Final answer
    x = 148,943.45

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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.