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Finding the Fourth Proportional to 277,767.37, 383,317.18 and 156,947.77

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Solution

The fourth proportional to 277,767.37, 383,317.18 and 156,947.77 is: 216,586.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,767.37 : 383,317.18 = 156,947.77 : x
  2. Step 2: Convert to fraction form
    277,767.37/383,317.18 = 156,947.77/x
  3. Step 3: Cross multiply
    277,767.37x = 383,317.18 × 156,947.77
  4. Step 4: Simplify right side
    277,767.37x = 60,160,776,603.69
  5. Step 5: Solve for x
    x = 60,160,776,603.69/277,767.37
  6. Step 6: Final answer
    x = 216,586.91

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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.