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Finding the Fourth Proportional to 242,022.20, 363,033.30 and 142,230.20

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Solution

The fourth proportional to 242,022.20, 363,033.30 and 142,230.20 is: 213,345.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,022.20 : 363,033.30 = 142,230.20 : x
  2. Step 2: Convert to fraction form
    242,022.20/363,033.30 = 142,230.20/x
  3. Step 3: Cross multiply
    242,022.20x = 363,033.30 × 142,230.20
  4. Step 4: Simplify right side
    242,022.20x = 51,634,298,865.66
  5. Step 5: Solve for x
    x = 51,634,298,865.66/242,022.20
  6. Step 6: Final answer
    x = 213,345.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.