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Finding the Fourth Proportional to 209,586.60, 289,229.48 and 114,093.98

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Solution

The fourth proportional to 209,586.60, 289,229.48 and 114,093.98 is: 157,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,586.60 : 289,229.48 = 114,093.98 : x
  2. Step 2: Convert to fraction form
    209,586.60/289,229.48 = 114,093.98/x
  3. Step 3: Cross multiply
    209,586.60x = 289,229.48 × 114,093.98
  4. Step 4: Simplify right side
    209,586.60x = 32,999,342,506.53
  5. Step 5: Solve for x
    x = 32,999,342,506.53/209,586.60
  6. Step 6: Final answer
    x = 157,449.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.