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Finding the Fourth Proportional to 233,413.20, 350,071.20 and 100,297.80

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Solution

The fourth proportional to 233,413.20, 350,071.20 and 100,297.80 is: 150,425.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,413.20 : 350,071.20 = 100,297.80 : x
  2. Step 2: Convert to fraction form
    233,413.20/350,071.20 = 100,297.80/x
  3. Step 3: Cross multiply
    233,413.20x = 350,071.20 × 100,297.80
  4. Step 4: Simplify right side
    233,413.20x = 35,111,371,203.36
  5. Step 5: Solve for x
    x = 35,111,371,203.36/233,413.20
  6. Step 6: Final answer
    x = 150,425.82

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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.