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Finding the Fourth Proportional to 209,647.44, 289,309.32 and 114,155.28

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Solution

The fourth proportional to 209,647.44, 289,309.32 and 114,155.28 is: 157,532.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,647.44 : 289,309.32 = 114,155.28 : x
  2. Step 2: Convert to fraction form
    209,647.44/289,309.32 = 114,155.28/x
  3. Step 3: Cross multiply
    209,647.44x = 289,309.32 × 114,155.28
  4. Step 4: Simplify right side
    209,647.44x = 33,026,186,431.21
  5. Step 5: Solve for x
    x = 33,026,186,431.21/209,647.44
  6. Step 6: Final answer
    x = 157,532.03

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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.