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Finding the Fourth Proportional to 323,859.60, 485,789.40 and 102,214.80

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Solution

The fourth proportional to 323,859.60, 485,789.40 and 102,214.80 is: 153,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,859.60 : 485,789.40 = 102,214.80 : x
  2. Step 2: Convert to fraction form
    323,859.60/485,789.40 = 102,214.80/x
  3. Step 3: Cross multiply
    323,859.60x = 485,789.40 × 102,214.80
  4. Step 4: Simplify right side
    323,859.60x = 49,654,866,363.12
  5. Step 5: Solve for x
    x = 49,654,866,363.12/323,859.60
  6. Step 6: Final answer
    x = 153,322.20

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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.