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Finding the Fourth Proportional to 209,858.36, 289,604.56 and 114,365.08

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Solution

The fourth proportional to 209,858.36, 289,604.56 and 114,365.08 is: 157,823.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,858.36 : 289,604.56 = 114,365.08 : x
  2. Step 2: Convert to fraction form
    209,858.36/289,604.56 = 114,365.08/x
  3. Step 3: Cross multiply
    209,858.36x = 289,604.56 × 114,365.08
  4. Step 4: Simplify right side
    209,858.36x = 33,120,648,672.76
  5. Step 5: Solve for x
    x = 33,120,648,672.76/209,858.36
  6. Step 6: Final answer
    x = 157,823.82

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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.