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Finding the Fourth Proportional to 277,706.47, 383,234.83 and 150,382.03

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Solution

The fourth proportional to 277,706.47, 383,234.83 and 150,382.03 is: 207,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,706.47 : 383,234.83 = 150,382.03 : x
  2. Step 2: Convert to fraction form
    277,706.47/383,234.83 = 150,382.03/x
  3. Step 3: Cross multiply
    277,706.47x = 383,234.83 × 150,382.03
  4. Step 4: Simplify right side
    277,706.47x = 57,631,631,702.10
  5. Step 5: Solve for x
    x = 57,631,631,702.10/277,706.47
  6. Step 6: Final answer
    x = 207,527.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.