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Finding the Fourth Proportional to 201,688.13, 302,532.21 and 61,446.75

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Solution

The fourth proportional to 201,688.13, 302,532.21 and 61,446.75 is: 92,170.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,688.13 : 302,532.21 = 61,446.75 : x
  2. Step 2: Convert to fraction form
    201,688.13/302,532.21 = 61,446.75/x
  3. Step 3: Cross multiply
    201,688.13x = 302,532.21 × 61,446.75
  4. Step 4: Simplify right side
    201,688.13x = 18,589,621,074.82
  5. Step 5: Solve for x
    x = 18,589,621,074.82/201,688.13
  6. Step 6: Final answer
    x = 92,170.13

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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.