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Finding the Fourth Proportional to 277,956.64, 383,712.42 and 186,233.88

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Solution

The fourth proportional to 277,956.64, 383,712.42 and 186,233.88 is: 257,091.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,956.64 : 383,712.42 = 186,233.88 : x
  2. Step 2: Convert to fraction form
    277,956.64/383,712.42 = 186,233.88/x
  3. Step 3: Cross multiply
    277,956.64x = 383,712.42 × 186,233.88
  4. Step 4: Simplify right side
    277,956.64x = 71,460,252,780.79
  5. Step 5: Solve for x
    x = 71,460,252,780.79/277,956.64
  6. Step 6: Final answer
    x = 257,091.37

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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.