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Finding the Fourth Proportional to 210,120.22, 289,965.50 and 114,626.90

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Solution

The fourth proportional to 210,120.22, 289,965.50 and 114,626.90 is: 158,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,120.22 : 289,965.50 = 114,626.90 : x
  2. Step 2: Convert to fraction form
    210,120.22/289,965.50 = 114,626.90/x
  3. Step 3: Cross multiply
    210,120.22x = 289,965.50 × 114,626.90
  4. Step 4: Simplify right side
    210,120.22x = 33,237,846,371.95
  5. Step 5: Solve for x
    x = 33,237,846,371.95/210,120.22
  6. Step 6: Final answer
    x = 158,184.90

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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.