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Finding the Fourth Proportional to 135,323.10, 202,965.45 and 41,838.30

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Solution

The fourth proportional to 135,323.10, 202,965.45 and 41,838.30 is: 62,751.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,323.10 : 202,965.45 = 41,838.30 : x
  2. Step 2: Convert to fraction form
    135,323.10/202,965.45 = 41,838.30/x
  3. Step 3: Cross multiply
    135,323.10x = 202,965.45 × 41,838.30
  4. Step 4: Simplify right side
    135,323.10x = 8,491,729,386.74
  5. Step 5: Solve for x
    x = 8,491,729,386.74/135,323.10
  6. Step 6: Final answer
    x = 62,751.51

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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.