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Finding the Fourth Proportional to 100,202.96, 138,305.04 and 57,787.04

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Solution

The fourth proportional to 100,202.96, 138,305.04 and 57,787.04 is: 79,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.96 : 138,305.04 = 57,787.04 : x
  2. Step 2: Convert to fraction form
    100,202.96/138,305.04 = 57,787.04/x
  3. Step 3: Cross multiply
    100,202.96x = 138,305.04 × 57,787.04
  4. Step 4: Simplify right side
    100,202.96x = 7,992,238,878.68
  5. Step 5: Solve for x
    x = 7,992,238,878.68/100,202.96
  6. Step 6: Final answer
    x = 79,760.51

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1.5x scale

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.