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Finding the Fourth Proportional to 209,625.75, 289,288.67 and 114,137.64

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Solution

The fourth proportional to 209,625.75, 289,288.67 and 114,137.64 is: 157,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,625.75 : 289,288.67 = 114,137.64 : x
  2. Step 2: Convert to fraction form
    209,625.75/289,288.67 = 114,137.64/x
  3. Step 3: Cross multiply
    209,625.75x = 289,288.67 × 114,137.64
  4. Step 4: Simplify right side
    209,625.75x = 33,018,725,501.85
  5. Step 5: Solve for x
    x = 33,018,725,501.85/209,625.75
  6. Step 6: Final answer
    x = 157,512.74

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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.