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Finding the Fourth Proportional to 209,871.29, 289,622.22 and 114,377.96

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Solution

The fourth proportional to 209,871.29, 289,622.22 and 114,377.96 is: 157,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,871.29 : 289,622.22 = 114,377.96 : x
  2. Step 2: Convert to fraction form
    209,871.29/289,622.22 = 114,377.96/x
  3. Step 3: Cross multiply
    209,871.29x = 289,622.22 × 114,377.96
  4. Step 4: Simplify right side
    209,871.29x = 33,126,397,246.16
  5. Step 5: Solve for x
    x = 33,126,397,246.16/209,871.29
  6. Step 6: Final answer
    x = 157,841.49

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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.