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Finding the Fourth Proportional to 142,585.08, 196,811.28 and 82,196.12

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Solution

The fourth proportional to 142,585.08, 196,811.28 and 82,196.12 is: 113,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,585.08 : 196,811.28 = 82,196.12 : x
  2. Step 2: Convert to fraction form
    142,585.08/196,811.28 = 82,196.12/x
  3. Step 3: Cross multiply
    142,585.08x = 196,811.28 × 82,196.12
  4. Step 4: Simplify right side
    142,585.08x = 16,177,122,604.18
  5. Step 5: Solve for x
    x = 16,177,122,604.18/142,585.08
  6. Step 6: Final answer
    x = 113,455.93

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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.