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Finding the Fourth Proportional to 208,633.17, 312,811.50 and 75,496.11

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Solution

The fourth proportional to 208,633.17, 312,811.50 and 75,496.11 is: 113,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,633.17 : 312,811.50 = 75,496.11 : x
  2. Step 2: Convert to fraction form
    208,633.17/312,811.50 = 75,496.11/x
  3. Step 3: Cross multiply
    208,633.17x = 312,811.50 × 75,496.11
  4. Step 4: Simplify right side
    208,633.17x = 23,616,051,413.27
  5. Step 5: Solve for x
    x = 23,616,051,413.27/208,633.17
  6. Step 6: Final answer
    x = 113,194.14

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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.