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Finding the Fourth Proportional to 243,003.40, 364,067.70 and 198,388.60

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Solution

The fourth proportional to 243,003.40, 364,067.70 and 198,388.60 is: 297,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,003.40 : 364,067.70 = 198,388.60 : x
  2. Step 2: Convert to fraction form
    243,003.40/364,067.70 = 198,388.60/x
  3. Step 3: Cross multiply
    243,003.40x = 364,067.70 × 198,388.60
  4. Step 4: Simplify right side
    243,003.40x = 72,226,881,308.22
  5. Step 5: Solve for x
    x = 72,226,881,308.22/243,003.40
  6. Step 6: Final answer
    x = 297,225.81

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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.