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Finding the Fourth Proportional to 327,138.04, 490,707.02 and 105,522.04

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Solution

The fourth proportional to 327,138.04, 490,707.02 and 105,522.04 is: 158,283.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,138.04 : 490,707.02 = 105,522.04 : x
  2. Step 2: Convert to fraction form
    327,138.04/490,707.02 = 105,522.04/x
  3. Step 3: Cross multiply
    327,138.04x = 490,707.02 × 105,522.04
  4. Step 4: Simplify right side
    327,138.04x = 51,780,405,792.72
  5. Step 5: Solve for x
    x = 51,780,405,792.72/327,138.04
  6. Step 6: Final answer
    x = 158,283.05

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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.