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Finding the Fourth Proportional to 342,910.64, 514,178.04 and 106,187.60

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Solution

The fourth proportional to 342,910.64, 514,178.04 and 106,187.60 is: 159,223.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,910.64 : 514,178.04 = 106,187.60 : x
  2. Step 2: Convert to fraction form
    342,910.64/514,178.04 = 106,187.60/x
  3. Step 3: Cross multiply
    342,910.64x = 514,178.04 × 106,187.60
  4. Step 4: Simplify right side
    342,910.64x = 54,599,332,040.30
  5. Step 5: Solve for x
    x = 54,599,332,040.30/342,910.64
  6. Step 6: Final answer
    x = 159,223.21

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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.