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Finding the Fourth Proportional to 142,876.64, 197,166.74 and 82,442.54

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Solution

The fourth proportional to 142,876.64, 197,166.74 and 82,442.54 is: 113,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,876.64 : 197,166.74 = 82,442.54 : x
  2. Step 2: Convert to fraction form
    142,876.64/197,166.74 = 82,442.54/x
  3. Step 3: Cross multiply
    142,876.64x = 197,166.74 × 82,442.54
  4. Step 4: Simplify right side
    142,876.64x = 16,254,926,849.12
  5. Step 5: Solve for x
    x = 16,254,926,849.12/142,876.64
  6. Step 6: Final answer
    x = 113,768.96

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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.