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Finding the Fourth Proportional to 142,134, 213,201.81 and 59,028

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Solution

The fourth proportional to 142,134, 213,201.81 and 59,028 is: 88,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,134 : 213,201.81 = 59,028 : x
  2. Step 2: Convert to fraction form
    142,134/213,201.81 = 59,028/x
  3. Step 3: Cross multiply
    142,134x = 213,201.81 × 59,028
  4. Step 4: Simplify right side
    142,134x = 12,584,876,440.68
  5. Step 5: Solve for x
    x = 12,584,876,440.68/142,134
  6. Step 6: Final answer
    x = 88,542.34

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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.