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Finding the Fourth Proportional to 210,441.99, 290,408.22 and 114,948.75

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Solution

The fourth proportional to 210,441.99, 290,408.22 and 114,948.75 is: 158,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,441.99 : 290,408.22 = 114,948.75 : x
  2. Step 2: Convert to fraction form
    210,441.99/290,408.22 = 114,948.75/x
  3. Step 3: Cross multiply
    210,441.99x = 290,408.22 × 114,948.75
  4. Step 4: Simplify right side
    210,441.99x = 33,382,061,878.73
  5. Step 5: Solve for x
    x = 33,382,061,878.73/210,441.99
  6. Step 6: Final answer
    x = 158,628.33

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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.