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Finding the Fourth Proportional to 285,485.50, 428,212.05 and 85,801.87

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Solution

The fourth proportional to 285,485.50, 428,212.05 and 85,801.87 is: 128,697.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,485.50 : 428,212.05 = 85,801.87 : x
  2. Step 2: Convert to fraction form
    285,485.50/428,212.05 = 85,801.87/x
  3. Step 3: Cross multiply
    285,485.50x = 428,212.05 × 85,801.87
  4. Step 4: Simplify right side
    285,485.50x = 36,741,394,646.53
  5. Step 5: Solve for x
    x = 36,741,394,646.53/285,485.50
  6. Step 6: Final answer
    x = 128,697.94

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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.