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Finding the Fourth Proportional to 135,735.98, 187,324.50 and 78,377.72

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Solution

The fourth proportional to 135,735.98, 187,324.50 and 78,377.72 is: 108,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,735.98 : 187,324.50 = 78,377.72 : x
  2. Step 2: Convert to fraction form
    135,735.98/187,324.50 = 78,377.72/x
  3. Step 3: Cross multiply
    135,735.98x = 187,324.50 × 78,377.72
  4. Step 4: Simplify right side
    135,735.98x = 14,682,067,210.14
  5. Step 5: Solve for x
    x = 14,682,067,210.14/135,735.98
  6. Step 6: Final answer
    x = 108,166.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.