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Finding the Fourth Proportional to 242,844.20, 364,266.30 and 228,069.80

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Solution

The fourth proportional to 242,844.20, 364,266.30 and 228,069.80 is: 342,104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,844.20 : 364,266.30 = 228,069.80 : x
  2. Step 2: Convert to fraction form
    242,844.20/364,266.30 = 228,069.80/x
  3. Step 3: Cross multiply
    242,844.20x = 364,266.30 × 228,069.80
  4. Step 4: Simplify right side
    242,844.20x = 83,078,142,187.74
  5. Step 5: Solve for x
    x = 83,078,142,187.74/242,844.20
  6. Step 6: Final answer
    x = 342,104.70

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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.