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Finding the Fourth Proportional to 209,869.36, 289,619.20 and 114,375.90

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Solution

The fourth proportional to 209,869.36, 289,619.20 and 114,375.90 is: 157,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,869.36 : 289,619.20 = 114,375.90 : x
  2. Step 2: Convert to fraction form
    209,869.36/289,619.20 = 114,375.90/x
  3. Step 3: Cross multiply
    209,869.36x = 289,619.20 × 114,375.90
  4. Step 4: Simplify right side
    209,869.36x = 33,125,456,657.28
  5. Step 5: Solve for x
    x = 33,125,456,657.28/209,869.36
  6. Step 6: Final answer
    x = 157,838.46

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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.