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Finding the Fourth Proportional to 224,093.80, 336,140.70 and 83,834.20

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Solution

The fourth proportional to 224,093.80, 336,140.70 and 83,834.20 is: 125,751.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,093.80 : 336,140.70 = 83,834.20 : x
  2. Step 2: Convert to fraction form
    224,093.80/336,140.70 = 83,834.20/x
  3. Step 3: Cross multiply
    224,093.80x = 336,140.70 × 83,834.20
  4. Step 4: Simplify right side
    224,093.80x = 28,180,086,671.94
  5. Step 5: Solve for x
    x = 28,180,086,671.94/224,093.80
  6. Step 6: Final answer
    x = 125,751.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.