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Finding the Fourth Proportional to 277,181.92, 382,511.04 and 149,857.48

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Solution

The fourth proportional to 277,181.92, 382,511.04 and 149,857.48 is: 206,803.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,181.92 : 382,511.04 = 149,857.48 : x
  2. Step 2: Convert to fraction form
    277,181.92/382,511.04 = 149,857.48/x
  3. Step 3: Cross multiply
    277,181.92x = 382,511.04 × 149,857.48
  4. Step 4: Simplify right side
    277,181.92x = 57,322,140,526.58
  5. Step 5: Solve for x
    x = 57,322,140,526.58/277,181.92
  6. Step 6: Final answer
    x = 206,803.32

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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.