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Finding the Fourth Proportional to 204,415.38, 282,101.32 and 113,775.16

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Solution

The fourth proportional to 204,415.38, 282,101.32 and 113,775.16 is: 157,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,415.38 : 282,101.32 = 113,775.16 : x
  2. Step 2: Convert to fraction form
    204,415.38/282,101.32 = 113,775.16/x
  3. Step 3: Cross multiply
    204,415.38x = 282,101.32 × 113,775.16
  4. Step 4: Simplify right side
    204,415.38x = 32,096,122,819.21
  5. Step 5: Solve for x
    x = 32,096,122,819.21/204,415.38
  6. Step 6: Final answer
    x = 157,014.23

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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.