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Finding the Fourth Proportional to 342,179.94, 472,211.38 and 189,228.42

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Solution

The fourth proportional to 342,179.94, 472,211.38 and 189,228.42 is: 261,136.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,179.94 : 472,211.38 = 189,228.42 : x
  2. Step 2: Convert to fraction form
    342,179.94/472,211.38 = 189,228.42/x
  3. Step 3: Cross multiply
    342,179.94x = 472,211.38 × 189,228.42
  4. Step 4: Simplify right side
    342,179.94x = 89,355,815,140.13
  5. Step 5: Solve for x
    x = 89,355,815,140.13/342,179.94
  6. Step 6: Final answer
    x = 261,136.92

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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.