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Finding the Fourth Proportional to 142,037.45, 196,011.39 and 78,375.09

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Solution

The fourth proportional to 142,037.45, 196,011.39 and 78,375.09 is: 108,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,037.45 : 196,011.39 = 78,375.09 : x
  2. Step 2: Convert to fraction form
    142,037.45/196,011.39 = 78,375.09/x
  3. Step 3: Cross multiply
    142,037.45x = 196,011.39 × 78,375.09
  4. Step 4: Simplify right side
    142,037.45x = 15,362,411,361.22
  5. Step 5: Solve for x
    x = 15,362,411,361.22/142,037.45
  6. Step 6: Final answer
    x = 108,157.47

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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.