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Finding the Fourth Proportional to 277,616.92, 383,111.48 and 150,292.52

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Solution

The fourth proportional to 277,616.92, 383,111.48 and 150,292.52 is: 207,403.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,616.92 : 383,111.48 = 150,292.52 : x
  2. Step 2: Convert to fraction form
    277,616.92/383,111.48 = 150,292.52/x
  3. Step 3: Cross multiply
    277,616.92x = 383,111.48 × 150,292.52
  4. Step 4: Simplify right side
    277,616.92x = 57,578,789,770.13
  5. Step 5: Solve for x
    x = 57,578,789,770.13/277,616.92
  6. Step 6: Final answer
    x = 207,403.75

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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.