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Finding the Fourth Proportional to 277,783.29, 383,372.06 and 156,932.36

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Solution

The fourth proportional to 277,783.29, 383,372.06 and 156,932.36 is: 216,584.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,783.29 : 383,372.06 = 156,932.36 : x
  2. Step 2: Convert to fraction form
    277,783.29/383,372.06 = 156,932.36/x
  3. Step 3: Cross multiply
    277,783.29x = 383,372.06 × 156,932.36
  4. Step 4: Simplify right side
    277,783.29x = 60,163,482,133.86
  5. Step 5: Solve for x
    x = 60,163,482,133.86/277,783.29
  6. Step 6: Final answer
    x = 216,584.24

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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.