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Finding the Fourth Proportional to 281,667.68, 420,317.68 and 251,756

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Solution

The fourth proportional to 281,667.68, 420,317.68 and 251,756 is: 375,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,667.68 : 420,317.68 = 251,756 : x
  2. Step 2: Convert to fraction form
    281,667.68/420,317.68 = 251,756/x
  3. Step 3: Cross multiply
    281,667.68x = 420,317.68 × 251,756
  4. Step 4: Simplify right side
    281,667.68x = 105,817,497,846.08
  5. Step 5: Solve for x
    x = 105,817,497,846.08/281,667.68
  6. Step 6: Final answer
    x = 375,682.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.