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Finding the Fourth Proportional to 137,090.97, 205,653.38 and 66,917.25

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Solution

The fourth proportional to 137,090.97, 205,653.38 and 66,917.25 is: 100,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,090.97 : 205,653.38 = 66,917.25 : x
  2. Step 2: Convert to fraction form
    137,090.97/205,653.38 = 66,917.25/x
  3. Step 3: Cross multiply
    137,090.97x = 205,653.38 × 66,917.25
  4. Step 4: Simplify right side
    137,090.97x = 13,761,758,308.22
  5. Step 5: Solve for x
    x = 13,761,758,308.22/137,090.97
  6. Step 6: Final answer
    x = 100,384.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.