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Finding the Fourth Proportional to 209,857.34, 289,603.17 and 114,364.05

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Solution

The fourth proportional to 209,857.34, 289,603.17 and 114,364.05 is: 157,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,857.34 : 289,603.17 = 114,364.05 : x
  2. Step 2: Convert to fraction form
    209,857.34/289,603.17 = 114,364.05/x
  3. Step 3: Cross multiply
    209,857.34x = 289,603.17 × 114,364.05
  4. Step 4: Simplify right side
    209,857.34x = 33,120,191,414.04
  5. Step 5: Solve for x
    x = 33,120,191,414.04/209,857.34
  6. Step 6: Final answer
    x = 157,822.41

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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.