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Finding the Fourth Proportional to 242,694.20, 364,041.30 and 201,222.20

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Solution

The fourth proportional to 242,694.20, 364,041.30 and 201,222.20 is: 301,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,694.20 : 364,041.30 = 201,222.20 : x
  2. Step 2: Convert to fraction form
    242,694.20/364,041.30 = 201,222.20/x
  3. Step 3: Cross multiply
    242,694.20x = 364,041.30 × 201,222.20
  4. Step 4: Simplify right side
    242,694.20x = 73,253,191,276.86
  5. Step 5: Solve for x
    x = 73,253,191,276.86/242,694.20
  6. Step 6: Final answer
    x = 301,833.30

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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.