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Finding the Fourth Proportional to 277,181.08, 382,510.82 and 149,857.58

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Solution

The fourth proportional to 277,181.08, 382,510.82 and 149,857.58 is: 206,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,181.08 : 382,510.82 = 149,857.58 : x
  2. Step 2: Convert to fraction form
    277,181.08/382,510.82 = 149,857.58/x
  3. Step 3: Cross multiply
    277,181.08x = 382,510.82 × 149,857.58
  4. Step 4: Simplify right side
    277,181.08x = 57,322,145,809.02
  5. Step 5: Solve for x
    x = 57,322,145,809.02/277,181.08
  6. Step 6: Final answer
    x = 206,803.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.