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Finding the Fourth Proportional to 209,710.44, 289,403.77 and 114,217.14

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Solution

The fourth proportional to 209,710.44, 289,403.77 and 114,217.14 is: 157,621.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,710.44 : 289,403.77 = 114,217.14 : x
  2. Step 2: Convert to fraction form
    209,710.44/289,403.77 = 114,217.14/x
  3. Step 3: Cross multiply
    209,710.44x = 289,403.77 × 114,217.14
  4. Step 4: Simplify right side
    209,710.44x = 33,054,870,782.45
  5. Step 5: Solve for x
    x = 33,054,870,782.45/209,710.44
  6. Step 6: Final answer
    x = 157,621.48

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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.