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Finding the Fourth Proportional to 209,796.18, 289,515.06 and 114,303.56

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Solution

The fourth proportional to 209,796.18, 289,515.06 and 114,303.56 is: 157,736.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,796.18 : 289,515.06 = 114,303.56 : x
  2. Step 2: Convert to fraction form
    209,796.18/289,515.06 = 114,303.56/x
  3. Step 3: Cross multiply
    209,796.18x = 289,515.06 × 114,303.56
  4. Step 4: Simplify right side
    209,796.18x = 33,092,600,584.04
  5. Step 5: Solve for x
    x = 33,092,600,584.04/209,796.18
  6. Step 6: Final answer
    x = 157,736.91

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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.