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Finding the Fourth Proportional to 135,722.54, 203,687.73 and 97,753.57

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Solution

The fourth proportional to 135,722.54, 203,687.73 and 97,753.57 is: 146,705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,722.54 : 203,687.73 = 97,753.57 : x
  2. Step 2: Convert to fraction form
    135,722.54/203,687.73 = 97,753.57/x
  3. Step 3: Cross multiply
    135,722.54x = 203,687.73 × 97,753.57
  4. Step 4: Simplify right side
    135,722.54x = 19,911,202,263.48
  5. Step 5: Solve for x
    x = 19,911,202,263.48/135,722.54
  6. Step 6: Final answer
    x = 146,705.20

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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.