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Finding the Fourth Proportional to 135,196, 202,794 and 36,700

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Solution

The fourth proportional to 135,196, 202,794 and 36,700 is: 55,050

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,196 : 202,794 = 36,700 : x
  2. Step 2: Convert to fraction form
    135,196/202,794 = 36,700/x
  3. Step 3: Cross multiply
    135,196x = 202,794 × 36,700
  4. Step 4: Simplify right side
    135,196x = 7,442,539,800
  5. Step 5: Solve for x
    x = 7,442,539,800/135,196
  6. Step 6: Final answer
    x = 55,050

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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.