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Finding the Fourth Proportional to 323,767.80, 485,651.70 and 102,151.80

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Solution

The fourth proportional to 323,767.80, 485,651.70 and 102,151.80 is: 153,227.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,767.80 : 485,651.70 = 102,151.80 : x
  2. Step 2: Convert to fraction form
    323,767.80/485,651.70 = 102,151.80/x
  3. Step 3: Cross multiply
    323,767.80x = 485,651.70 × 102,151.80
  4. Step 4: Simplify right side
    323,767.80x = 49,610,195,328.06
  5. Step 5: Solve for x
    x = 49,610,195,328.06/323,767.80
  6. Step 6: Final answer
    x = 153,227.70

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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.