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Finding the Fourth Proportional to 242,486.91, 363,784.64 and 74,022.21

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Solution

The fourth proportional to 242,486.91, 363,784.64 and 74,022.21 is: 111,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,486.91 : 363,784.64 = 74,022.21 : x
  2. Step 2: Convert to fraction form
    242,486.91/363,784.64 = 74,022.21/x
  3. Step 3: Cross multiply
    242,486.91x = 363,784.64 × 74,022.21
  4. Step 4: Simplify right side
    242,486.91x = 26,928,142,646.74
  5. Step 5: Solve for x
    x = 26,928,142,646.74/242,486.91
  6. Step 6: Final answer
    x = 111,049.88

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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.