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Finding the Fourth Proportional to 277,976.54, 383,608.28 and 150,652.10

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Solution

The fourth proportional to 277,976.54, 383,608.28 and 150,652.10 is: 207,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,976.54 : 383,608.28 = 150,652.10 : x
  2. Step 2: Convert to fraction form
    277,976.54/383,608.28 = 150,652.10/x
  3. Step 3: Cross multiply
    277,976.54x = 383,608.28 × 150,652.10
  4. Step 4: Simplify right side
    277,976.54x = 57,791,391,417.98
  5. Step 5: Solve for x
    x = 57,791,391,417.98/277,976.54
  6. Step 6: Final answer
    x = 207,900.25

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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.