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Finding the Fourth Proportional to 277,107.62, 415,717.73 and 87,597.59

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Solution

The fourth proportional to 277,107.62, 415,717.73 and 87,597.59 is: 131,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,107.62 : 415,717.73 = 87,597.59 : x
  2. Step 2: Convert to fraction form
    277,107.62/415,717.73 = 87,597.59/x
  3. Step 3: Cross multiply
    277,107.62x = 415,717.73 × 87,597.59
  4. Step 4: Simplify right side
    277,107.62x = 36,415,870,830.28
  5. Step 5: Solve for x
    x = 36,415,870,830.28/277,107.62
  6. Step 6: Final answer
    x = 131,414.18

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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.