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Finding the Fourth Proportional to 142,020, 195,993.86 and 81,609.59

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Solution

The fourth proportional to 142,020, 195,993.86 and 81,609.59 is: 112,624.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,020 : 195,993.86 = 81,609.59 : x
  2. Step 2: Convert to fraction form
    142,020/195,993.86 = 81,609.59/x
  3. Step 3: Cross multiply
    142,020x = 195,993.86 × 81,609.59
  4. Step 4: Simplify right side
    142,020x = 15,994,978,639.05
  5. Step 5: Solve for x
    x = 15,994,978,639.05/142,020
  6. Step 6: Final answer
    x = 112,624.83

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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.