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Finding the Fourth Proportional to 178,857, 246,874.50 and 119,241

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Solution

The fourth proportional to 178,857, 246,874.50 and 119,241 is: 164,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,857 : 246,874.50 = 119,241 : x
  2. Step 2: Convert to fraction form
    178,857/246,874.50 = 119,241/x
  3. Step 3: Cross multiply
    178,857x = 246,874.50 × 119,241
  4. Step 4: Simplify right side
    178,857x = 29,437,562,254.50
  5. Step 5: Solve for x
    x = 29,437,562,254.50/178,857
  6. Step 6: Final answer
    x = 164,587.14

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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.