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Finding the Fourth Proportional to 342,821.97, 514,295.60 and 106,148.61

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Solution

The fourth proportional to 342,821.97, 514,295.60 and 106,148.61 is: 159,242.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,821.97 : 514,295.60 = 106,148.61 : x
  2. Step 2: Convert to fraction form
    342,821.97/514,295.60 = 106,148.61/x
  3. Step 3: Cross multiply
    342,821.97x = 514,295.60 × 106,148.61
  4. Step 4: Simplify right side
    342,821.97x = 54,591,762,538.37
  5. Step 5: Solve for x
    x = 54,591,762,538.37/342,821.97
  6. Step 6: Final answer
    x = 159,242.31

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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.