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Finding the Fourth Proportional to 142,524.10, 196,675.04 and 78,858.10

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Solution

The fourth proportional to 142,524.10, 196,675.04 and 78,858.10 is: 108,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,524.10 : 196,675.04 = 78,858.10 : x
  2. Step 2: Convert to fraction form
    142,524.10/196,675.04 = 78,858.10/x
  3. Step 3: Cross multiply
    142,524.10x = 196,675.04 × 78,858.10
  4. Step 4: Simplify right side
    142,524.10x = 15,509,419,971.82
  5. Step 5: Solve for x
    x = 15,509,419,971.82/142,524.10
  6. Step 6: Final answer
    x = 108,819.63

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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.