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Finding the Fourth Proportional to 142,552.96, 196,729.25 and 78,890.77

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Solution

The fourth proportional to 142,552.96, 196,729.25 and 78,890.77 is: 108,872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,552.96 : 196,729.25 = 78,890.77 : x
  2. Step 2: Convert to fraction form
    142,552.96/196,729.25 = 78,890.77/x
  3. Step 3: Cross multiply
    142,552.96x = 196,729.25 × 78,890.77
  4. Step 4: Simplify right side
    142,552.96x = 15,520,122,014.02
  5. Step 5: Solve for x
    x = 15,520,122,014.02/142,552.96
  6. Step 6: Final answer
    x = 108,872.67

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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.