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Finding the Fourth Proportional to 195,090.80, 292,629.56 and 82,698.71

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Solution

The fourth proportional to 195,090.80, 292,629.56 and 82,698.71 is: 124,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,090.80 : 292,629.56 = 82,698.71 : x
  2. Step 2: Convert to fraction form
    195,090.80/292,629.56 = 82,698.71/x
  3. Step 3: Cross multiply
    195,090.80x = 292,629.56 × 82,698.71
  4. Step 4: Simplify right side
    195,090.80x = 24,200,085,243.23
  5. Step 5: Solve for x
    x = 24,200,085,243.23/195,090.80
  6. Step 6: Final answer
    x = 124,045.24

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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.