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Finding the Fourth Proportional to 118,152.84, 177,177.42 and 44,229

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Solution

The fourth proportional to 118,152.84, 177,177.42 and 44,229 is: 66,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,152.84 : 177,177.42 = 44,229 : x
  2. Step 2: Convert to fraction form
    118,152.84/177,177.42 = 44,229/x
  3. Step 3: Cross multiply
    118,152.84x = 177,177.42 × 44,229
  4. Step 4: Simplify right side
    118,152.84x = 7,836,380,109.18
  5. Step 5: Solve for x
    x = 7,836,380,109.18/118,152.84
  6. Step 6: Final answer
    x = 66,324.09

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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.