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Finding the Fourth Proportional to 242,496.54, 334,622.70 and 140,526

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Solution

The fourth proportional to 242,496.54, 334,622.70 and 140,526 is: 193,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,496.54 : 334,622.70 = 140,526 : x
  2. Step 2: Convert to fraction form
    242,496.54/334,622.70 = 140,526/x
  3. Step 3: Cross multiply
    242,496.54x = 334,622.70 × 140,526
  4. Step 4: Simplify right side
    242,496.54x = 47,023,189,540.20
  5. Step 5: Solve for x
    x = 47,023,189,540.20/242,496.54
  6. Step 6: Final answer
    x = 193,912.83

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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.