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Finding the Fourth Proportional to 242,952.22, 364,272.24 and 100,895.48

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Solution

The fourth proportional to 242,952.22, 364,272.24 and 100,895.48 is: 151,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,952.22 : 364,272.24 = 100,895.48 : x
  2. Step 2: Convert to fraction form
    242,952.22/364,272.24 = 100,895.48/x
  3. Step 3: Cross multiply
    242,952.22x = 364,272.24 × 100,895.48
  4. Step 4: Simplify right side
    242,952.22x = 36,753,422,505.48
  5. Step 5: Solve for x
    x = 36,753,422,505.48/242,952.22
  6. Step 6: Final answer
    x = 151,278.40

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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.