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Finding the Fourth Proportional to 142,203.90, 213,291.73 and 37,022.87

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Solution

The fourth proportional to 142,203.90, 213,291.73 and 37,022.87 is: 55,530.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,203.90 : 213,291.73 = 37,022.87 : x
  2. Step 2: Convert to fraction form
    142,203.90/213,291.73 = 37,022.87/x
  3. Step 3: Cross multiply
    142,203.90x = 213,291.73 × 37,022.87
  4. Step 4: Simplify right side
    142,203.90x = 7,896,672,571.37
  5. Step 5: Solve for x
    x = 7,896,672,571.37/142,203.90
  6. Step 6: Final answer
    x = 55,530.63

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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.