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Finding the Fourth Proportional to 199,159.68, 274,792.16 and 113,099.52

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Solution

The fourth proportional to 199,159.68, 274,792.16 and 113,099.52 is: 156,049.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,159.68 : 274,792.16 = 113,099.52 : x
  2. Step 2: Convert to fraction form
    199,159.68/274,792.16 = 113,099.52/x
  3. Step 3: Cross multiply
    199,159.68x = 274,792.16 × 113,099.52
  4. Step 4: Simplify right side
    199,159.68x = 31,078,861,395.76
  5. Step 5: Solve for x
    x = 31,078,861,395.76/199,159.68
  6. Step 6: Final answer
    x = 156,049.97

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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.