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Finding the Fourth Proportional to 210,230.85, 290,114.54 and 114,738.23

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Solution

The fourth proportional to 210,230.85, 290,114.54 and 114,738.23 is: 158,336.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,230.85 : 290,114.54 = 114,738.23 : x
  2. Step 2: Convert to fraction form
    210,230.85/290,114.54 = 114,738.23/x
  3. Step 3: Cross multiply
    210,230.85x = 290,114.54 × 114,738.23
  4. Step 4: Simplify right side
    210,230.85x = 33,287,229,398.73
  5. Step 5: Solve for x
    x = 33,287,229,398.73/210,230.85
  6. Step 6: Final answer
    x = 158,336.56

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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.