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Finding the Fourth Proportional to 342,911.39, 514,179.16 and 106,188.35

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Solution

The fourth proportional to 342,911.39, 514,179.16 and 106,188.35 is: 159,224.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,911.39 : 514,179.16 = 106,188.35 : x
  2. Step 2: Convert to fraction form
    342,911.39/514,179.16 = 106,188.35/x
  3. Step 3: Cross multiply
    342,911.39x = 514,179.16 × 106,188.35
  4. Step 4: Simplify right side
    342,911.39x = 54,599,836,604.79
  5. Step 5: Solve for x
    x = 54,599,836,604.79/342,911.39
  6. Step 6: Final answer
    x = 159,224.33

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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.