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Finding the Fourth Proportional to 137,896.26, 190,319 and 128,891.29

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Solution

The fourth proportional to 137,896.26, 190,319 and 128,891.29 is: 177,890.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,896.26 : 190,319 = 128,891.29 : x
  2. Step 2: Convert to fraction form
    137,896.26/190,319 = 128,891.29/x
  3. Step 3: Cross multiply
    137,896.26x = 190,319 × 128,891.29
  4. Step 4: Simplify right side
    137,896.26x = 24,530,461,421.51
  5. Step 5: Solve for x
    x = 24,530,461,421.51/137,896.26
  6. Step 6: Final answer
    x = 177,890.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.