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Finding the Fourth Proportional to 312,243.36, 468,413.82 and 101,832.36

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Solution

The fourth proportional to 312,243.36, 468,413.82 and 101,832.36 is: 152,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,243.36 : 468,413.82 = 101,832.36 : x
  2. Step 2: Convert to fraction form
    312,243.36/468,413.82 = 101,832.36/x
  3. Step 3: Cross multiply
    312,243.36x = 468,413.82 × 101,832.36
  4. Step 4: Simplify right side
    312,243.36x = 47,699,684,747.22
  5. Step 5: Solve for x
    x = 47,699,684,747.22/312,243.36
  6. Step 6: Final answer
    x = 152,764.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.