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Finding the Fourth Proportional to 272,874.48, 376,463.26 and 165,405.30

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Solution

The fourth proportional to 272,874.48, 376,463.26 and 165,405.30 is: 228,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,874.48 : 376,463.26 = 165,405.30 : x
  2. Step 2: Convert to fraction form
    272,874.48/376,463.26 = 165,405.30/x
  3. Step 3: Cross multiply
    272,874.48x = 376,463.26 × 165,405.30
  4. Step 4: Simplify right side
    272,874.48x = 62,269,018,459.28
  5. Step 5: Solve for x
    x = 62,269,018,459.28/272,874.48
  6. Step 6: Final answer
    x = 228,196.56

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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.