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Finding the Fourth Proportional to 119,413.12, 164,790.09 and 65,696.98

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Solution

The fourth proportional to 119,413.12, 164,790.09 and 65,696.98 is: 90,661.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,413.12 : 164,790.09 = 65,696.98 : x
  2. Step 2: Convert to fraction form
    119,413.12/164,790.09 = 65,696.98/x
  3. Step 3: Cross multiply
    119,413.12x = 164,790.09 × 65,696.98
  4. Step 4: Simplify right side
    119,413.12x = 10,826,210,834.95
  5. Step 5: Solve for x
    x = 10,826,210,834.95/119,413.12
  6. Step 6: Final answer
    x = 90,661.82

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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.