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Finding the Fourth Proportional to 277,551.86, 383,024.38 and 150,230.18

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Solution

The fourth proportional to 277,551.86, 383,024.38 and 150,230.18 is: 207,319.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,551.86 : 383,024.38 = 150,230.18 : x
  2. Step 2: Convert to fraction form
    277,551.86/383,024.38 = 150,230.18/x
  3. Step 3: Cross multiply
    277,551.86x = 383,024.38 × 150,230.18
  4. Step 4: Simplify right side
    277,551.86x = 57,541,821,551.79
  5. Step 5: Solve for x
    x = 57,541,821,551.79/277,551.86
  6. Step 6: Final answer
    x = 207,319.17

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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.