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Finding the Fourth Proportional to 210,101.85, 289,964.72 and 116,976.96

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Solution

The fourth proportional to 210,101.85, 289,964.72 and 116,976.96 is: 161,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,101.85 : 289,964.72 = 116,976.96 : x
  2. Step 2: Convert to fraction form
    210,101.85/289,964.72 = 116,976.96/x
  3. Step 3: Cross multiply
    210,101.85x = 289,964.72 × 116,976.96
  4. Step 4: Simplify right side
    210,101.85x = 33,919,191,745.29
  5. Step 5: Solve for x
    x = 33,919,191,745.29/210,101.85
  6. Step 6: Final answer
    x = 161,441.66

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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.