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Finding the Fourth Proportional to 142,392.42, 213,420.96 and 58,099.97

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Solution

The fourth proportional to 142,392.42, 213,420.96 and 58,099.97 is: 87,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,392.42 : 213,420.96 = 58,099.97 : x
  2. Step 2: Convert to fraction form
    142,392.42/213,420.96 = 58,099.97/x
  3. Step 3: Cross multiply
    142,392.42x = 213,420.96 × 58,099.97
  4. Step 4: Simplify right side
    142,392.42x = 12,399,751,906.92
  5. Step 5: Solve for x
    x = 12,399,751,906.92/142,392.42
  6. Step 6: Final answer
    x = 87,081.54

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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.