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Finding the Fourth Proportional to 188,425.80, 282,638.70 and 83,190.60

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Solution

The fourth proportional to 188,425.80, 282,638.70 and 83,190.60 is: 124,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,425.80 : 282,638.70 = 83,190.60 : x
  2. Step 2: Convert to fraction form
    188,425.80/282,638.70 = 83,190.60/x
  3. Step 3: Cross multiply
    188,425.80x = 282,638.70 × 83,190.60
  4. Step 4: Simplify right side
    188,425.80x = 23,512,883,036.22
  5. Step 5: Solve for x
    x = 23,512,883,036.22/188,425.80
  6. Step 6: Final answer
    x = 124,785.90

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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.