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Finding the Fourth Proportional to 209,896.74, 289,664.37 and 114,413.94

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Solution

The fourth proportional to 209,896.74, 289,664.37 and 114,413.94 is: 157,894.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,896.74 : 289,664.37 = 114,413.94 : x
  2. Step 2: Convert to fraction form
    209,896.74/289,664.37 = 114,413.94/x
  3. Step 3: Cross multiply
    209,896.74x = 289,664.37 × 114,413.94
  4. Step 4: Simplify right side
    209,896.74x = 33,141,641,849.32
  5. Step 5: Solve for x
    x = 33,141,641,849.32/209,896.74
  6. Step 6: Final answer
    x = 157,894.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.