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Finding the Fourth Proportional to 277,287.23, 415,870.79 and 87,763

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Solution

The fourth proportional to 277,287.23, 415,870.79 and 87,763 is: 131,625.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,287.23 : 415,870.79 = 87,763 : x
  2. Step 2: Convert to fraction form
    277,287.23/415,870.79 = 87,763/x
  3. Step 3: Cross multiply
    277,287.23x = 415,870.79 × 87,763
  4. Step 4: Simplify right side
    277,287.23x = 36,498,068,142.77
  5. Step 5: Solve for x
    x = 36,498,068,142.77/277,287.23
  6. Step 6: Final answer
    x = 131,625.49

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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.