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Finding the Fourth Proportional to 216,569.44, 324,909.52 and 83,413.95

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Solution

The fourth proportional to 216,569.44, 324,909.52 and 83,413.95 is: 125,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,569.44 : 324,909.52 = 83,413.95 : x
  2. Step 2: Convert to fraction form
    216,569.44/324,909.52 = 83,413.95/x
  3. Step 3: Cross multiply
    216,569.44x = 324,909.52 × 83,413.95
  4. Step 4: Simplify right side
    216,569.44x = 27,101,986,455.80
  5. Step 5: Solve for x
    x = 27,101,986,455.80/216,569.44
  6. Step 6: Final answer
    x = 125,142.25

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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.