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Finding the Fourth Proportional to 272,874.98, 376,463.94 and 165,405.80

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Solution

The fourth proportional to 272,874.98, 376,463.94 and 165,405.80 is: 228,197.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,874.98 : 376,463.94 = 165,405.80 : x
  2. Step 2: Convert to fraction form
    272,874.98/376,463.94 = 165,405.80/x
  3. Step 3: Cross multiply
    272,874.98x = 376,463.94 × 165,405.80
  4. Step 4: Simplify right side
    272,874.98x = 62,269,317,284.53
  5. Step 5: Solve for x
    x = 62,269,317,284.53/272,874.98
  6. Step 6: Final answer
    x = 228,197.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.