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Finding the Fourth Proportional to 201,636.96, 302,244.42 and 75,226.34

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Solution

The fourth proportional to 201,636.96, 302,244.42 and 75,226.34 is: 112,760.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,636.96 : 302,244.42 = 75,226.34 : x
  2. Step 2: Convert to fraction form
    201,636.96/302,244.42 = 75,226.34/x
  3. Step 3: Cross multiply
    201,636.96x = 302,244.42 × 75,226.34
  4. Step 4: Simplify right side
    201,636.96x = 22,736,741,502.02
  5. Step 5: Solve for x
    x = 22,736,741,502.02/201,636.96
  6. Step 6: Final answer
    x = 112,760.78

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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.