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Finding the Fourth Proportional to 142,683.39, 196,905.14 and 82,252.93

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Solution

The fourth proportional to 142,683.39, 196,905.14 and 82,252.93 is: 113,510.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,683.39 : 196,905.14 = 82,252.93 : x
  2. Step 2: Convert to fraction form
    142,683.39/196,905.14 = 82,252.93/x
  3. Step 3: Cross multiply
    142,683.39x = 196,905.14 × 82,252.93
  4. Step 4: Simplify right side
    142,683.39x = 16,196,024,697.06
  5. Step 5: Solve for x
    x = 16,196,024,697.06/142,683.39
  6. Step 6: Final answer
    x = 113,510.23

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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.