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Finding the Fourth Proportional to 204,953.66, 307,474.26 and 71,842.04

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Solution

The fourth proportional to 204,953.66, 307,474.26 and 71,842.04 is: 107,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,953.66 : 307,474.26 = 71,842.04 : x
  2. Step 2: Convert to fraction form
    204,953.66/307,474.26 = 71,842.04/x
  3. Step 3: Cross multiply
    204,953.66x = 307,474.26 × 71,842.04
  4. Step 4: Simplify right side
    204,953.66x = 22,089,578,085.89
  5. Step 5: Solve for x
    x = 22,089,578,085.89/204,953.66
  6. Step 6: Final answer
    x = 107,778.40

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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.