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Finding the Fourth Proportional to 323,764.80, 485,647.20 and 102,148.80

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Solution

The fourth proportional to 323,764.80, 485,647.20 and 102,148.80 is: 153,223.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,764.80 : 485,647.20 = 102,148.80 : x
  2. Step 2: Convert to fraction form
    323,764.80/485,647.20 = 102,148.80/x
  3. Step 3: Cross multiply
    323,764.80x = 485,647.20 × 102,148.80
  4. Step 4: Simplify right side
    323,764.80x = 49,608,278,703.36
  5. Step 5: Solve for x
    x = 49,608,278,703.36/323,764.80
  6. Step 6: Final answer
    x = 153,223.20

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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.