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Finding the Fourth Proportional to 201,877.46, 302,863.04 and 68,758.86

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Solution

The fourth proportional to 201,877.46, 302,863.04 and 68,758.86 is: 103,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,877.46 : 302,863.04 = 68,758.86 : x
  2. Step 2: Convert to fraction form
    201,877.46/302,863.04 = 68,758.86/x
  3. Step 3: Cross multiply
    201,877.46x = 302,863.04 × 68,758.86
  4. Step 4: Simplify right side
    201,877.46x = 20,824,517,022.74
  5. Step 5: Solve for x
    x = 20,824,517,022.74/201,877.46
  6. Step 6: Final answer
    x = 103,154.25

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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.