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Finding the Fourth Proportional to 242,992.80, 364,489.20 and 209,167.20

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Solution

The fourth proportional to 242,992.80, 364,489.20 and 209,167.20 is: 313,750.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,992.80 : 364,489.20 = 209,167.20 : x
  2. Step 2: Convert to fraction form
    242,992.80/364,489.20 = 209,167.20/x
  3. Step 3: Cross multiply
    242,992.80x = 364,489.20 × 209,167.20
  4. Step 4: Simplify right side
    242,992.80x = 76,239,185,394.24
  5. Step 5: Solve for x
    x = 76,239,185,394.24/242,992.80
  6. Step 6: Final answer
    x = 313,750.80

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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.