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Finding the Fourth Proportional to 208,696.95, 313,040.21 and 114,019.11

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Solution

The fourth proportional to 208,696.95, 313,040.21 and 114,019.11 is: 171,025.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,696.95 : 313,040.21 = 114,019.11 : x
  2. Step 2: Convert to fraction form
    208,696.95/313,040.21 = 114,019.11/x
  3. Step 3: Cross multiply
    208,696.95x = 313,040.21 × 114,019.11
  4. Step 4: Simplify right side
    208,696.95x = 35,692,565,568.32
  5. Step 5: Solve for x
    x = 35,692,565,568.32/208,696.95
  6. Step 6: Final answer
    x = 171,025.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.