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Finding the Fourth Proportional to 142,632.96, 196,835.04 and 78,971.88

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Solution

The fourth proportional to 142,632.96, 196,835.04 and 78,971.88 is: 108,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,632.96 : 196,835.04 = 78,971.88 : x
  2. Step 2: Convert to fraction form
    142,632.96/196,835.04 = 78,971.88/x
  3. Step 3: Cross multiply
    142,632.96x = 196,835.04 × 78,971.88
  4. Step 4: Simplify right side
    142,632.96x = 15,544,433,158.68
  5. Step 5: Solve for x
    x = 15,544,433,158.68/142,632.96
  6. Step 6: Final answer
    x = 108,982.06

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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.