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Finding the Fourth Proportional to 190,576.76, 285,906.42 and 57,445.88

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Solution

The fourth proportional to 190,576.76, 285,906.42 and 57,445.88 is: 86,181.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,576.76 : 285,906.42 = 57,445.88 : x
  2. Step 2: Convert to fraction form
    190,576.76/285,906.42 = 57,445.88/x
  3. Step 3: Cross multiply
    190,576.76x = 285,906.42 × 57,445.88
  4. Step 4: Simplify right side
    190,576.76x = 16,424,145,894.55
  5. Step 5: Solve for x
    x = 16,424,145,894.55/190,576.76
  6. Step 6: Final answer
    x = 86,181.26

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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.