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Finding the Fourth Proportional to 142,326.14, 196,403.01 and 78,662.30

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Solution

The fourth proportional to 142,326.14, 196,403.01 and 78,662.30 is: 108,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,326.14 : 196,403.01 = 78,662.30 : x
  2. Step 2: Convert to fraction form
    142,326.14/196,403.01 = 78,662.30/x
  3. Step 3: Cross multiply
    142,326.14x = 196,403.01 × 78,662.30
  4. Step 4: Simplify right side
    142,326.14x = 15,449,512,493.52
  5. Step 5: Solve for x
    x = 15,449,512,493.52/142,326.14
  6. Step 6: Final answer
    x = 108,550.07

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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.