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Finding the Fourth Proportional to 342,910.39, 514,177.66 and 106,187.35

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Solution

The fourth proportional to 342,910.39, 514,177.66 and 106,187.35 is: 159,222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,910.39 : 514,177.66 = 106,187.35 : x
  2. Step 2: Convert to fraction form
    342,910.39/514,177.66 = 106,187.35/x
  3. Step 3: Cross multiply
    342,910.39x = 514,177.66 × 106,187.35
  4. Step 4: Simplify right side
    342,910.39x = 54,599,163,144.60
  5. Step 5: Solve for x
    x = 54,599,163,144.60/342,910.39
  6. Step 6: Final answer
    x = 159,222.83

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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.