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Finding the Fourth Proportional to 262,751.82, 362,597.91 and 149,574.57

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Solution

The fourth proportional to 262,751.82, 362,597.91 and 149,574.57 is: 206,413.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,751.82 : 362,597.91 = 149,574.57 : x
  2. Step 2: Convert to fraction form
    262,751.82/362,597.91 = 149,574.57/x
  3. Step 3: Cross multiply
    262,751.82x = 362,597.91 × 149,574.57
  4. Step 4: Simplify right side
    262,751.82x = 54,235,426,471.15
  5. Step 5: Solve for x
    x = 54,235,426,471.15/262,751.82
  6. Step 6: Final answer
    x = 206,413.13

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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.