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Finding the Fourth Proportional to 142,616.64, 196,813.61 and 82,177.08

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Solution

The fourth proportional to 142,616.64, 196,813.61 and 82,177.08 is: 113,405.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,616.64 : 196,813.61 = 82,177.08 : x
  2. Step 2: Convert to fraction form
    142,616.64/196,813.61 = 82,177.08/x
  3. Step 3: Cross multiply
    142,616.64x = 196,813.61 × 82,177.08
  4. Step 4: Simplify right side
    142,616.64x = 16,173,567,774.06
  5. Step 5: Solve for x
    x = 16,173,567,774.06/142,616.64
  6. Step 6: Final answer
    x = 113,405.90

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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.