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Finding the Fourth Proportional to 135,192.96, 202,841.28 and 56,286

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Solution

The fourth proportional to 135,192.96, 202,841.28 and 56,286 is: 84,450.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,192.96 : 202,841.28 = 56,286 : x
  2. Step 2: Convert to fraction form
    135,192.96/202,841.28 = 56,286/x
  3. Step 3: Cross multiply
    135,192.96x = 202,841.28 × 56,286
  4. Step 4: Simplify right side
    135,192.96x = 11,417,124,286.08
  5. Step 5: Solve for x
    x = 11,417,124,286.08/135,192.96
  6. Step 6: Final answer
    x = 84,450.58

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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.