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Finding the Fourth Proportional to 308,853.12, 463,284.56 and 121,863

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Solution

The fourth proportional to 308,853.12, 463,284.56 and 121,863 is: 182,796.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,853.12 : 463,284.56 = 121,863 : x
  2. Step 2: Convert to fraction form
    308,853.12/463,284.56 = 121,863/x
  3. Step 3: Cross multiply
    308,853.12x = 463,284.56 × 121,863
  4. Step 4: Simplify right side
    308,853.12x = 56,457,246,335.28
  5. Step 5: Solve for x
    x = 56,457,246,335.28/308,853.12
  6. Step 6: Final answer
    x = 182,796.43

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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.