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Finding the Fourth Proportional to 118,498.84, 177,748.44 and 47,453.47

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Solution

The fourth proportional to 118,498.84, 177,748.44 and 47,453.47 is: 71,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,498.84 : 177,748.44 = 47,453.47 : x
  2. Step 2: Convert to fraction form
    118,498.84/177,748.44 = 47,453.47/x
  3. Step 3: Cross multiply
    118,498.84x = 177,748.44 × 47,453.47
  4. Step 4: Simplify right side
    118,498.84x = 8,434,780,265.09
  5. Step 5: Solve for x
    x = 8,434,780,265.09/118,498.84
  6. Step 6: Final answer
    x = 71,180.28

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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.