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Finding the Fourth Proportional to 277,603.16, 383,091.92 and 150,278.72

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Solution

The fourth proportional to 277,603.16, 383,091.92 and 150,278.72 is: 207,384.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,603.16 : 383,091.92 = 150,278.72 : x
  2. Step 2: Convert to fraction form
    277,603.16/383,091.92 = 150,278.72/x
  3. Step 3: Cross multiply
    277,603.16x = 383,091.92 × 150,278.72
  4. Step 4: Simplify right side
    277,603.16x = 57,570,563,379.94
  5. Step 5: Solve for x
    x = 57,570,563,379.94/277,603.16
  6. Step 6: Final answer
    x = 207,384.39

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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.