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Finding the Fourth Proportional to 142,570.17, 196,733.51 and 85,198.10

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Solution

The fourth proportional to 142,570.17, 196,733.51 and 85,198.10 is: 117,565.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,570.17 : 196,733.51 = 85,198.10 : x
  2. Step 2: Convert to fraction form
    142,570.17/196,733.51 = 85,198.10/x
  3. Step 3: Cross multiply
    142,570.17x = 196,733.51 × 85,198.10
  4. Step 4: Simplify right side
    142,570.17x = 16,761,321,324.17
  5. Step 5: Solve for x
    x = 16,761,321,324.17/142,570.17
  6. Step 6: Final answer
    x = 117,565.42

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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.