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Finding the Fourth Proportional to 204,849, 282,692.84 and 114,210.68

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Solution

The fourth proportional to 204,849, 282,692.84 and 114,210.68 is: 157,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,849 : 282,692.84 = 114,210.68 : x
  2. Step 2: Convert to fraction form
    204,849/282,692.84 = 114,210.68/x
  3. Step 3: Cross multiply
    204,849x = 282,692.84 × 114,210.68
  4. Step 4: Simplify right side
    204,849x = 32,286,541,487.53
  5. Step 5: Solve for x
    x = 32,286,541,487.53/204,849
  6. Step 6: Final answer
    x = 157,611.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.