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Finding the Fourth Proportional to 277,733.80, 383,325.78 and 163,037.80

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Solution

The fourth proportional to 277,733.80, 383,325.78 and 163,037.80 is: 225,023.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,733.80 : 383,325.78 = 163,037.80 : x
  2. Step 2: Convert to fraction form
    277,733.80/383,325.78 = 163,037.80/x
  3. Step 3: Cross multiply
    277,733.80x = 383,325.78 × 163,037.80
  4. Step 4: Simplify right side
    277,733.80x = 62,496,591,854.48
  5. Step 5: Solve for x
    x = 62,496,591,854.48/277,733.80
  6. Step 6: Final answer
    x = 225,023.36

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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.