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Finding the Fourth Proportional to 208,083.14, 312,122.73 and 65,928.02

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Solution

The fourth proportional to 208,083.14, 312,122.73 and 65,928.02 is: 98,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,083.14 : 312,122.73 = 65,928.02 : x
  2. Step 2: Convert to fraction form
    208,083.14/312,122.73 = 65,928.02/x
  3. Step 3: Cross multiply
    208,083.14x = 312,122.73 × 65,928.02
  4. Step 4: Simplify right side
    208,083.14x = 20,577,633,585.89
  5. Step 5: Solve for x
    x = 20,577,633,585.89/208,083.14
  6. Step 6: Final answer
    x = 98,891.40

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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.