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Finding the Fourth Proportional to 201,883.28, 302,436.86 and 112,866.84

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Solution

The fourth proportional to 201,883.28, 302,436.86 and 112,866.84 is: 169,083.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,883.28 : 302,436.86 = 112,866.84 : x
  2. Step 2: Convert to fraction form
    201,883.28/302,436.86 = 112,866.84/x
  3. Step 3: Cross multiply
    201,883.28x = 302,436.86 × 112,866.84
  4. Step 4: Simplify right side
    201,883.28x = 34,135,092,123.39
  5. Step 5: Solve for x
    x = 34,135,092,123.39/201,883.28
  6. Step 6: Final answer
    x = 169,083.31

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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.