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Finding the Fourth Proportional to 210,441.46, 290,415.36 and 114,949.66

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Solution

The fourth proportional to 210,441.46, 290,415.36 and 114,949.66 is: 158,633.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,441.46 : 290,415.36 = 114,949.66 : x
  2. Step 2: Convert to fraction form
    210,441.46/290,415.36 = 114,949.66/x
  3. Step 3: Cross multiply
    210,441.46x = 290,415.36 × 114,949.66
  4. Step 4: Simplify right side
    210,441.46x = 33,383,146,890.78
  5. Step 5: Solve for x
    x = 33,383,146,890.78/210,441.46
  6. Step 6: Final answer
    x = 158,633.89

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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.