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Finding the Fourth Proportional to 142,704.17, 214,058.37 and 67,832.03

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Solution

The fourth proportional to 142,704.17, 214,058.37 and 67,832.03 is: 101,749.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,704.17 : 214,058.37 = 67,832.03 : x
  2. Step 2: Convert to fraction form
    142,704.17/214,058.37 = 67,832.03/x
  3. Step 3: Cross multiply
    142,704.17x = 214,058.37 × 67,832.03
  4. Step 4: Simplify right side
    142,704.17x = 14,520,013,775.59
  5. Step 5: Solve for x
    x = 14,520,013,775.59/142,704.17
  6. Step 6: Final answer
    x = 101,749.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.