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Finding the Fourth Proportional to 141,817.42, 195,709.38 and 78,157.54

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Solution

The fourth proportional to 141,817.42, 195,709.38 and 78,157.54 is: 107,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,817.42 : 195,709.38 = 78,157.54 : x
  2. Step 2: Convert to fraction form
    141,817.42/195,709.38 = 78,157.54/x
  3. Step 3: Cross multiply
    141,817.42x = 195,709.38 × 78,157.54
  4. Step 4: Simplify right side
    141,817.42x = 15,296,163,695.73
  5. Step 5: Solve for x
    x = 15,296,163,695.73/141,817.42
  6. Step 6: Final answer
    x = 107,858.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.