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Finding the Fourth Proportional to 209,874.30, 289,618.09 and 114,378.94

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Solution

The fourth proportional to 209,874.30, 289,618.09 and 114,378.94 is: 157,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,874.30 : 289,618.09 = 114,378.94 : x
  2. Step 2: Convert to fraction form
    209,874.30/289,618.09 = 114,378.94/x
  3. Step 3: Cross multiply
    209,874.30x = 289,618.09 × 114,378.94
  4. Step 4: Simplify right side
    209,874.30x = 33,126,210,139.02
  5. Step 5: Solve for x
    x = 33,126,210,139.02/209,874.30
  6. Step 6: Final answer
    x = 157,838.34

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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.