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Finding the Fourth Proportional to 142,074.63, 196,057.26 and 78,411.60

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Solution

The fourth proportional to 142,074.63, 196,057.26 and 78,411.60 is: 108,204.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,074.63 : 196,057.26 = 78,411.60 : x
  2. Step 2: Convert to fraction form
    142,074.63/196,057.26 = 78,411.60/x
  3. Step 3: Cross multiply
    142,074.63x = 196,057.26 × 78,411.60
  4. Step 4: Simplify right side
    142,074.63x = 15,373,163,448.22
  5. Step 5: Solve for x
    x = 15,373,163,448.22/142,074.63
  6. Step 6: Final answer
    x = 108,204.85

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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.