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Finding the Fourth Proportional to 118,494, 177,770.16 and 35,388

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Solution

The fourth proportional to 118,494, 177,770.16 and 35,388 is: 53,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,494 : 177,770.16 = 35,388 : x
  2. Step 2: Convert to fraction form
    118,494/177,770.16 = 35,388/x
  3. Step 3: Cross multiply
    118,494x = 177,770.16 × 35,388
  4. Step 4: Simplify right side
    118,494x = 6,290,930,422.08
  5. Step 5: Solve for x
    x = 6,290,930,422.08/118,494
  6. Step 6: Final answer
    x = 53,090.71

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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.