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Finding the Fourth Proportional to 118,209.84, 177,262.88 and 44,286

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Solution

The fourth proportional to 118,209.84, 177,262.88 and 44,286 is: 66,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,209.84 : 177,262.88 = 44,286 : x
  2. Step 2: Convert to fraction form
    118,209.84/177,262.88 = 44,286/x
  3. Step 3: Cross multiply
    118,209.84x = 177,262.88 × 44,286
  4. Step 4: Simplify right side
    118,209.84x = 7,850,263,903.68
  5. Step 5: Solve for x
    x = 7,850,263,903.68/118,209.84
  6. Step 6: Final answer
    x = 66,409.56

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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.