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Finding the Fourth Proportional to 199,138.56, 274,626.60 and 145,338.36

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Solution

The fourth proportional to 199,138.56, 274,626.60 and 145,338.36 is: 200,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,138.56 : 274,626.60 = 145,338.36 : x
  2. Step 2: Convert to fraction form
    199,138.56/274,626.60 = 145,338.36/x
  3. Step 3: Cross multiply
    199,138.56x = 274,626.60 × 145,338.36
  4. Step 4: Simplify right side
    199,138.56x = 39,913,779,656.38
  5. Step 5: Solve for x
    x = 39,913,779,656.38/199,138.56
  6. Step 6: Final answer
    x = 200,432.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.