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Finding the Fourth Proportional to 263,055.60, 363,018.42 and 142,196.76

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Solution

The fourth proportional to 263,055.60, 363,018.42 and 142,196.76 is: 196,232.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,055.60 : 363,018.42 = 142,196.76 : x
  2. Step 2: Convert to fraction form
    263,055.60/363,018.42 = 142,196.76/x
  3. Step 3: Cross multiply
    263,055.60x = 363,018.42 × 142,196.76
  4. Step 4: Simplify right side
    263,055.60x = 51,620,043,144.32
  5. Step 5: Solve for x
    x = 51,620,043,144.32/263,055.60
  6. Step 6: Final answer
    x = 196,232.44

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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.