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Finding the Fourth Proportional to 277,225.18, 415,889.07 and 87,733.24

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Solution

The fourth proportional to 277,225.18, 415,889.07 and 87,733.24 is: 131,616.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,225.18 : 415,889.07 = 87,733.24 : x
  2. Step 2: Convert to fraction form
    277,225.18/415,889.07 = 87,733.24/x
  3. Step 3: Cross multiply
    277,225.18x = 415,889.07 × 87,733.24
  4. Step 4: Simplify right side
    277,225.18x = 36,487,295,591.69
  5. Step 5: Solve for x
    x = 36,487,295,591.69/277,225.18
  6. Step 6: Final answer
    x = 131,616.09

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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.