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Finding the Fourth Proportional to 169,951.50, 254,956.41 and 51,634.80

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Solution

The fourth proportional to 169,951.50, 254,956.41 and 51,634.80 is: 77,461.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,951.50 : 254,956.41 = 51,634.80 : x
  2. Step 2: Convert to fraction form
    169,951.50/254,956.41 = 51,634.80/x
  3. Step 3: Cross multiply
    169,951.50x = 254,956.41 × 51,634.80
  4. Step 4: Simplify right side
    169,951.50x = 13,164,623,239.07
  5. Step 5: Solve for x
    x = 13,164,623,239.07/169,951.50
  6. Step 6: Final answer
    x = 77,461.06

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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.