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Finding the Fourth Proportional to 323,829.20, 485,743.80 and 113,445.20

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Solution

The fourth proportional to 323,829.20, 485,743.80 and 113,445.20 is: 170,167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,829.20 : 485,743.80 = 113,445.20 : x
  2. Step 2: Convert to fraction form
    323,829.20/485,743.80 = 113,445.20/x
  3. Step 3: Cross multiply
    323,829.20x = 485,743.80 × 113,445.20
  4. Step 4: Simplify right side
    323,829.20x = 55,105,302,539.76
  5. Step 5: Solve for x
    x = 55,105,302,539.76/323,829.20
  6. Step 6: Final answer
    x = 170,167.80

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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.