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Finding the Fourth Proportional to 142,532.52, 196,663.62 and 85,163.22

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Solution

The fourth proportional to 142,532.52, 196,663.62 and 85,163.22 is: 117,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,532.52 : 196,663.62 = 85,163.22 : x
  2. Step 2: Convert to fraction form
    142,532.52/196,663.62 = 85,163.22/x
  3. Step 3: Cross multiply
    142,532.52x = 196,663.62 × 85,163.22
  4. Step 4: Simplify right side
    142,532.52x = 16,748,507,136.06
  5. Step 5: Solve for x
    x = 16,748,507,136.06/142,532.52
  6. Step 6: Final answer
    x = 117,506.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.