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Finding the Fourth Proportional to 277,994.58, 416,833.89 and 109,423.54

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Solution

The fourth proportional to 277,994.58, 416,833.89 and 109,423.54 is: 164,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,994.58 : 416,833.89 = 109,423.54 : x
  2. Step 2: Convert to fraction form
    277,994.58/416,833.89 = 109,423.54/x
  3. Step 3: Cross multiply
    277,994.58x = 416,833.89 × 109,423.54
  4. Step 4: Simplify right side
    277,994.58x = 45,611,439,835.77
  5. Step 5: Solve for x
    x = 45,611,439,835.77/277,994.58
  6. Step 6: Final answer
    x = 164,073.13

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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.