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Finding the Fourth Proportional to 342,744.96, 514,139.22 and 106,067.76

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Solution

The fourth proportional to 342,744.96, 514,139.22 and 106,067.76 is: 159,108.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,744.96 : 514,139.22 = 106,067.76 : x
  2. Step 2: Convert to fraction form
    342,744.96/514,139.22 = 106,067.76/x
  3. Step 3: Cross multiply
    342,744.96x = 514,139.22 × 106,067.76
  4. Step 4: Simplify right side
    342,744.96x = 54,533,595,393.55
  5. Step 5: Solve for x
    x = 54,533,595,393.55/342,744.96
  6. Step 6: Final answer
    x = 159,108.38

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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.