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Finding the Fourth Proportional to 277,954.64, 383,709.66 and 186,231.88

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Solution

The fourth proportional to 277,954.64, 383,709.66 and 186,231.88 is: 257,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,954.64 : 383,709.66 = 186,231.88 : x
  2. Step 2: Convert to fraction form
    277,954.64/383,709.66 = 186,231.88/x
  3. Step 3: Cross multiply
    277,954.64x = 383,709.66 × 186,231.88
  4. Step 4: Simplify right side
    277,954.64x = 71,458,971,355.96
  5. Step 5: Solve for x
    x = 71,458,971,355.96/277,954.64
  6. Step 6: Final answer
    x = 257,088.61

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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.