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Finding the Fourth Proportional to 187,026.26, 258,097.89 and 106,458.98

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Solution

The fourth proportional to 187,026.26, 258,097.89 and 106,458.98 is: 146,914.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,026.26 : 258,097.89 = 106,458.98 : x
  2. Step 2: Convert to fraction form
    187,026.26/258,097.89 = 106,458.98/x
  3. Step 3: Cross multiply
    187,026.26x = 258,097.89 × 106,458.98
  4. Step 4: Simplify right side
    187,026.26x = 27,476,837,218.28
  5. Step 5: Solve for x
    x = 27,476,837,218.28/187,026.26
  6. Step 6: Final answer
    x = 146,914.33

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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.