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Finding the Fourth Proportional to 214,413.48, 321,516 and 64,625.94

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Solution

The fourth proportional to 214,413.48, 321,516 and 64,625.94 is: 96,907.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,413.48 : 321,516 = 64,625.94 : x
  2. Step 2: Convert to fraction form
    214,413.48/321,516 = 64,625.94/x
  3. Step 3: Cross multiply
    214,413.48x = 321,516 × 64,625.94
  4. Step 4: Simplify right side
    214,413.48x = 20,778,273,725.04
  5. Step 5: Solve for x
    x = 20,778,273,725.04/214,413.48
  6. Step 6: Final answer
    x = 96,907.50

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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.