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Finding the Fourth Proportional to 277,597.63, 383,084.93 and 150,273.32

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Solution

The fourth proportional to 277,597.63, 383,084.93 and 150,273.32 is: 207,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,597.63 : 383,084.93 = 150,273.32 : x
  2. Step 2: Convert to fraction form
    277,597.63/383,084.93 = 150,273.32/x
  3. Step 3: Cross multiply
    277,597.63x = 383,084.93 × 150,273.32
  4. Step 4: Simplify right side
    277,597.63x = 57,567,443,521.70
  5. Step 5: Solve for x
    x = 57,567,443,521.70/277,597.63
  6. Step 6: Final answer
    x = 207,377.29

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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.