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Finding the Fourth Proportional to 135,934.40, 203,901.60 and 57,202.40

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Solution

The fourth proportional to 135,934.40, 203,901.60 and 57,202.40 is: 85,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,934.40 : 203,901.60 = 57,202.40 : x
  2. Step 2: Convert to fraction form
    135,934.40/203,901.60 = 57,202.40/x
  3. Step 3: Cross multiply
    135,934.40x = 203,901.60 × 57,202.40
  4. Step 4: Simplify right side
    135,934.40x = 11,663,660,883.84
  5. Step 5: Solve for x
    x = 11,663,660,883.84/135,934.40
  6. Step 6: Final answer
    x = 85,803.60

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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.