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Finding the Fourth Proportional to 272,809.32, 376,495.77 and 165,383.88

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Solution

The fourth proportional to 272,809.32, 376,495.77 and 165,383.88 is: 228,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,809.32 : 376,495.77 = 165,383.88 : x
  2. Step 2: Convert to fraction form
    272,809.32/376,495.77 = 165,383.88/x
  3. Step 3: Cross multiply
    272,809.32x = 376,495.77 × 165,383.88
  4. Step 4: Simplify right side
    272,809.32x = 62,266,331,246.19
  5. Step 5: Solve for x
    x = 62,266,331,246.19/272,809.32
  6. Step 6: Final answer
    x = 228,241.22

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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.