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Finding the Fourth Proportional to 242,951.23, 364,270.73 and 100,894.49

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Solution

The fourth proportional to 242,951.23, 364,270.73 and 100,894.49 is: 151,276.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,951.23 : 364,270.73 = 100,894.49 : x
  2. Step 2: Convert to fraction form
    242,951.23/364,270.73 = 100,894.49/x
  3. Step 3: Cross multiply
    242,951.23x = 364,270.73 × 100,894.49
  4. Step 4: Simplify right side
    242,951.23x = 36,752,909,525.28
  5. Step 5: Solve for x
    x = 36,752,909,525.28/242,951.23
  6. Step 6: Final answer
    x = 151,276.90

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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.