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Finding the Fourth Proportional to 142,768.56, 214,163.76 and 37,586

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Solution

The fourth proportional to 142,768.56, 214,163.76 and 37,586 is: 56,381.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,768.56 : 214,163.76 = 37,586 : x
  2. Step 2: Convert to fraction form
    142,768.56/214,163.76 = 37,586/x
  3. Step 3: Cross multiply
    142,768.56x = 214,163.76 × 37,586
  4. Step 4: Simplify right side
    142,768.56x = 8,049,559,083.36
  5. Step 5: Solve for x
    x = 8,049,559,083.36/142,768.56
  6. Step 6: Final answer
    x = 56,381.87

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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.