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Finding the Fourth Proportional to 142,745.76, 214,110 and 37,564.56

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Solution

The fourth proportional to 142,745.76, 214,110 and 37,564.56 is: 56,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,745.76 : 214,110 = 37,564.56 : x
  2. Step 2: Convert to fraction form
    142,745.76/214,110 = 37,564.56/x
  3. Step 3: Cross multiply
    142,745.76x = 214,110 × 37,564.56
  4. Step 4: Simplify right side
    142,745.76x = 8,042,947,941.60
  5. Step 5: Solve for x
    x = 8,042,947,941.60/142,745.76
  6. Step 6: Final answer
    x = 56,344.57

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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.