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Finding the Fourth Proportional to 275,784.92, 413,766.50 and 135,445.12

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Solution

The fourth proportional to 275,784.92, 413,766.50 and 135,445.12 is: 203,211.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,784.92 : 413,766.50 = 135,445.12 : x
  2. Step 2: Convert to fraction form
    275,784.92/413,766.50 = 135,445.12/x
  3. Step 3: Cross multiply
    275,784.92x = 413,766.50 × 135,445.12
  4. Step 4: Simplify right side
    275,784.92x = 56,042,653,244.48
  5. Step 5: Solve for x
    x = 56,042,653,244.48/275,784.92
  6. Step 6: Final answer
    x = 203,211.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.