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Finding the Fourth Proportional to 143,096.49, 214,648.92 and 37,915.47

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Solution

The fourth proportional to 143,096.49, 214,648.92 and 37,915.47 is: 56,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,096.49 : 214,648.92 = 37,915.47 : x
  2. Step 2: Convert to fraction form
    143,096.49/214,648.92 = 37,915.47/x
  3. Step 3: Cross multiply
    143,096.49x = 214,648.92 × 37,915.47
  4. Step 4: Simplify right side
    143,096.49x = 8,138,514,686.79
  5. Step 5: Solve for x
    x = 8,138,514,686.79/143,096.49
  6. Step 6: Final answer
    x = 56,874.31

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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.