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Finding the Fourth Proportional to 209,919.44, 289,683.06 and 114,428

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Solution

The fourth proportional to 209,919.44, 289,683.06 and 114,428 is: 157,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,919.44 : 289,683.06 = 114,428 : x
  2. Step 2: Convert to fraction form
    209,919.44/289,683.06 = 114,428/x
  3. Step 3: Cross multiply
    209,919.44x = 289,683.06 × 114,428
  4. Step 4: Simplify right side
    209,919.44x = 33,147,853,189.68
  5. Step 5: Solve for x
    x = 33,147,853,189.68/209,919.44
  6. Step 6: Final answer
    x = 157,907.50

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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.