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Finding the Fourth Proportional to 142,083, 196,052.22 and 81,641.97

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Solution

The fourth proportional to 142,083, 196,052.22 and 81,641.97 is: 112,653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,083 : 196,052.22 = 81,641.97 : x
  2. Step 2: Convert to fraction form
    142,083/196,052.22 = 81,641.97/x
  3. Step 3: Cross multiply
    142,083x = 196,052.22 × 81,641.97
  4. Step 4: Simplify right side
    142,083x = 16,006,089,463.67
  5. Step 5: Solve for x
    x = 16,006,089,463.67/142,083
  6. Step 6: Final answer
    x = 112,653.09

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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.