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Finding the Fourth Proportional to 277,632, 383,102.76 and 156,765.96

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Solution

The fourth proportional to 277,632, 383,102.76 and 156,765.96 is: 216,320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,632 : 383,102.76 = 156,765.96 : x
  2. Step 2: Convert to fraction form
    277,632/383,102.76 = 156,765.96/x
  3. Step 3: Cross multiply
    277,632x = 383,102.76 × 156,765.96
  4. Step 4: Simplify right side
    277,632x = 60,057,471,950.05
  5. Step 5: Solve for x
    x = 60,057,471,950.05/277,632
  6. Step 6: Final answer
    x = 216,320.42

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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.