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Finding the Fourth Proportional to 277,927.92, 416,882.16 and 117,901.08

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Solution

The fourth proportional to 277,927.92, 416,882.16 and 117,901.08 is: 176,847.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,927.92 : 416,882.16 = 117,901.08 : x
  2. Step 2: Convert to fraction form
    277,927.92/416,882.16 = 117,901.08/x
  3. Step 3: Cross multiply
    277,927.92x = 416,882.16 × 117,901.08
  4. Step 4: Simplify right side
    277,927.92x = 49,150,856,896.73
  5. Step 5: Solve for x
    x = 49,150,856,896.73/277,927.92
  6. Step 6: Final answer
    x = 176,847.50

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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.