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Finding the Fourth Proportional to 242,214.80, 363,451.80 and 101,987.60

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Solution

The fourth proportional to 242,214.80, 363,451.80 and 101,987.60 is: 153,035.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,214.80 : 363,451.80 = 101,987.60 : x
  2. Step 2: Convert to fraction form
    242,214.80/363,451.80 = 101,987.60/x
  3. Step 3: Cross multiply
    242,214.80x = 363,451.80 × 101,987.60
  4. Step 4: Simplify right side
    242,214.80x = 37,067,576,797.68
  5. Step 5: Solve for x
    x = 37,067,576,797.68/242,214.80
  6. Step 6: Final answer
    x = 153,035.97

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Why These Related Problems?

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