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Finding the Fourth Proportional to 272,808.94, 376,495.24 and 165,383.50

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Solution

The fourth proportional to 272,808.94, 376,495.24 and 165,383.50 is: 228,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,808.94 : 376,495.24 = 165,383.50 : x
  2. Step 2: Convert to fraction form
    272,808.94/376,495.24 = 165,383.50/x
  3. Step 3: Cross multiply
    272,808.94x = 376,495.24 × 165,383.50
  4. Step 4: Simplify right side
    272,808.94x = 62,266,100,524.54
  5. Step 5: Solve for x
    x = 62,266,100,524.54/272,808.94
  6. Step 6: Final answer
    x = 228,240.69

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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.