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Finding the Fourth Proportional to 208,970.39, 313,316.25 and 75,833.33

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Solution

The fourth proportional to 208,970.39, 313,316.25 and 75,833.33 is: 113,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,970.39 : 313,316.25 = 75,833.33 : x
  2. Step 2: Convert to fraction form
    208,970.39/313,316.25 = 75,833.33/x
  3. Step 3: Cross multiply
    208,970.39x = 313,316.25 × 75,833.33
  4. Step 4: Simplify right side
    208,970.39x = 23,759,813,014.03
  5. Step 5: Solve for x
    x = 23,759,813,014.03/208,970.39
  6. Step 6: Final answer
    x = 113,699.43

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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.