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Finding the Fourth Proportional to 274,892.70, 412,349.94 and 130,763.90

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Solution

The fourth proportional to 274,892.70, 412,349.94 and 130,763.90 is: 196,151.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,892.70 : 412,349.94 = 130,763.90 : x
  2. Step 2: Convert to fraction form
    274,892.70/412,349.94 = 130,763.90/x
  3. Step 3: Cross multiply
    274,892.70x = 412,349.94 × 130,763.90
  4. Step 4: Simplify right side
    274,892.70x = 53,920,486,319.17
  5. Step 5: Solve for x
    x = 53,920,486,319.17/274,892.70
  6. Step 6: Final answer
    x = 196,151.03

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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.