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Finding the Fourth Proportional to 272,954.57, 376,705.34 and 164,094.15

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Solution

The fourth proportional to 272,954.57, 376,705.34 and 164,094.15 is: 226,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,954.57 : 376,705.34 = 164,094.15 : x
  2. Step 2: Convert to fraction form
    272,954.57/376,705.34 = 164,094.15/x
  3. Step 3: Cross multiply
    272,954.57x = 376,705.34 × 164,094.15
  4. Step 4: Simplify right side
    272,954.57x = 61,815,141,747.29
  5. Step 5: Solve for x
    x = 61,815,141,747.29/272,954.57
  6. Step 6: Final answer
    x = 226,466.78

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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.