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Finding the Fourth Proportional to 209,635.88, 289,298.20 and 114,143.16

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Solution

The fourth proportional to 209,635.88, 289,298.20 and 114,143.16 is: 157,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,635.88 : 289,298.20 = 114,143.16 : x
  2. Step 2: Convert to fraction form
    209,635.88/289,298.20 = 114,143.16/x
  3. Step 3: Cross multiply
    209,635.88x = 289,298.20 × 114,143.16
  4. Step 4: Simplify right side
    209,635.88x = 33,021,410,444.95
  5. Step 5: Solve for x
    x = 33,021,410,444.95/209,635.88
  6. Step 6: Final answer
    x = 157,517.93

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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.