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Finding the Fourth Proportional to 142,162.86, 196,216.92 and 101,922.06

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Solution

The fourth proportional to 142,162.86, 196,216.92 and 101,922.06 is: 140,675.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,162.86 : 196,216.92 = 101,922.06 : x
  2. Step 2: Convert to fraction form
    142,162.86/196,216.92 = 101,922.06/x
  3. Step 3: Cross multiply
    142,162.86x = 196,216.92 × 101,922.06
  4. Step 4: Simplify right side
    142,162.86x = 19,998,832,693.26
  5. Step 5: Solve for x
    x = 19,998,832,693.26/142,162.86
  6. Step 6: Final answer
    x = 140,675.51

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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.