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Finding the Fourth Proportional to 504,146.16, 755,956.80 and 149,112.27

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Solution

The fourth proportional to 504,146.16, 755,956.80 and 149,112.27 is: 223,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,146.16 : 755,956.80 = 149,112.27 : x
  2. Step 2: Convert to fraction form
    504,146.16/755,956.80 = 149,112.27/x
  3. Step 3: Cross multiply
    504,146.16x = 755,956.80 × 149,112.27
  4. Step 4: Simplify right side
    504,146.16x = 112,722,434,469.94
  5. Step 5: Solve for x
    x = 112,722,434,469.94/504,146.16
  6. Step 6: Final answer
    x = 223,590.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.