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Finding the Fourth Proportional to 327,167.84, 490,751.82 and 102,528.20

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Solution

The fourth proportional to 327,167.84, 490,751.82 and 102,528.20 is: 153,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,167.84 : 490,751.82 = 102,528.20 : x
  2. Step 2: Convert to fraction form
    327,167.84/490,751.82 = 102,528.20/x
  3. Step 3: Cross multiply
    327,167.84x = 490,751.82 × 102,528.20
  4. Step 4: Simplify right side
    327,167.84x = 50,315,900,751.32
  5. Step 5: Solve for x
    x = 50,315,900,751.32/327,167.84
  6. Step 6: Final answer
    x = 153,792.32

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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.