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Finding the Fourth Proportional to 209,594.16, 289,239.60 and 114,100.56

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Solution

The fourth proportional to 209,594.16, 289,239.60 and 114,100.56 is: 157,458.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,594.16 : 289,239.60 = 114,100.56 : x
  2. Step 2: Convert to fraction form
    209,594.16/289,239.60 = 114,100.56/x
  3. Step 3: Cross multiply
    209,594.16x = 289,239.60 × 114,100.56
  4. Step 4: Simplify right side
    209,594.16x = 33,002,400,334.18
  5. Step 5: Solve for x
    x = 33,002,400,334.18/209,594.16
  6. Step 6: Final answer
    x = 157,458.59

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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.