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Finding the Fourth Proportional to 285,490.70, 428,236.05 and 85,841.90

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Solution

The fourth proportional to 285,490.70, 428,236.05 and 85,841.90 is: 128,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,490.70 : 428,236.05 = 85,841.90 : x
  2. Step 2: Convert to fraction form
    285,490.70/428,236.05 = 85,841.90/x
  3. Step 3: Cross multiply
    285,490.70x = 428,236.05 × 85,841.90
  4. Step 4: Simplify right side
    285,490.70x = 36,760,596,180.50
  5. Step 5: Solve for x
    x = 36,760,596,180.50/285,490.70
  6. Step 6: Final answer
    x = 128,762.85

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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.