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Finding the Fourth Proportional to 209,872.89, 289,617.26 and 114,377.67

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Solution

The fourth proportional to 209,872.89, 289,617.26 and 114,377.67 is: 157,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,872.89 : 289,617.26 = 114,377.67 : x
  2. Step 2: Convert to fraction form
    209,872.89/289,617.26 = 114,377.67/x
  3. Step 3: Cross multiply
    209,872.89x = 289,617.26 × 114,377.67
  4. Step 4: Simplify right side
    209,872.89x = 33,125,746,818.70
  5. Step 5: Solve for x
    x = 33,125,746,818.70/209,872.89
  6. Step 6: Final answer
    x = 157,837.19

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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.