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Finding the Fourth Proportional to 200,742.78, 301,230.78 and 89,934.78

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Solution

The fourth proportional to 200,742.78, 301,230.78 and 89,934.78 is: 134,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742.78 : 301,230.78 = 89,934.78 : x
  2. Step 2: Convert to fraction form
    200,742.78/301,230.78 = 89,934.78/x
  3. Step 3: Cross multiply
    200,742.78x = 301,230.78 × 89,934.78
  4. Step 4: Simplify right side
    200,742.78x = 27,091,123,928.53
  5. Step 5: Solve for x
    x = 27,091,123,928.53/200,742.78
  6. Step 6: Final answer
    x = 134,954.41

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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.