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Finding the Fourth Proportional to 204,770.76, 282,606.60 and 114,135

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Solution

The fourth proportional to 204,770.76, 282,606.60 and 114,135 is: 157,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,770.76 : 282,606.60 = 114,135 : x
  2. Step 2: Convert to fraction form
    204,770.76/282,606.60 = 114,135/x
  3. Step 3: Cross multiply
    204,770.76x = 282,606.60 × 114,135
  4. Step 4: Simplify right side
    204,770.76x = 32,255,304,291.00
  5. Step 5: Solve for x
    x = 32,255,304,291.00/204,770.76
  6. Step 6: Final answer
    x = 157,519.09

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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.