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Finding the Fourth Proportional to 135,198.96, 202,818 and 41,712

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Solution

The fourth proportional to 135,198.96, 202,818 and 41,712 is: 62,574.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,198.96 : 202,818 = 41,712 : x
  2. Step 2: Convert to fraction form
    135,198.96/202,818 = 41,712/x
  3. Step 3: Cross multiply
    135,198.96x = 202,818 × 41,712
  4. Step 4: Simplify right side
    135,198.96x = 8,459,944,416
  5. Step 5: Solve for x
    x = 8,459,944,416/135,198.96
  6. Step 6: Final answer
    x = 62,574.03

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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.