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Finding the Fourth Proportional to 195,738.40, 274,402.40 and 195,738.40

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Solution

The fourth proportional to 195,738.40, 274,402.40 and 195,738.40 is: 274,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,738.40 : 274,402.40 = 195,738.40 : x
  2. Step 2: Convert to fraction form
    195,738.40/274,402.40 = 195,738.40/x
  3. Step 3: Cross multiply
    195,738.40x = 274,402.40 × 195,738.40
  4. Step 4: Simplify right side
    195,738.40x = 53,711,086,732.16
  5. Step 5: Solve for x
    x = 53,711,086,732.16/195,738.40
  6. Step 6: Final answer
    x = 274,402.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.