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Finding the Fourth Proportional to 242,754.04, 364,131.42 and 76,555

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Solution

The fourth proportional to 242,754.04, 364,131.42 and 76,555 is: 114,832.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,754.04 : 364,131.42 = 76,555 : x
  2. Step 2: Convert to fraction form
    242,754.04/364,131.42 = 76,555/x
  3. Step 3: Cross multiply
    242,754.04x = 364,131.42 × 76,555
  4. Step 4: Simplify right side
    242,754.04x = 27,876,080,858.10
  5. Step 5: Solve for x
    x = 27,876,080,858.10/242,754.04
  6. Step 6: Final answer
    x = 114,832.61

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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.