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Finding the Fourth Proportional to 353,099.57, 487,275.36 and 200,166.60

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Solution

The fourth proportional to 353,099.57, 487,275.36 and 200,166.60 is: 276,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,099.57 : 487,275.36 = 200,166.60 : x
  2. Step 2: Convert to fraction form
    353,099.57/487,275.36 = 200,166.60/x
  3. Step 3: Cross multiply
    353,099.57x = 487,275.36 × 200,166.60
  4. Step 4: Simplify right side
    353,099.57x = 97,536,252,074.98
  5. Step 5: Solve for x
    x = 97,536,252,074.98/353,099.57
  6. Step 6: Final answer
    x = 276,228.75

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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.