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Finding the Fourth Proportional to 236,212.14, 354,214.32 and 86,413.58

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Solution

The fourth proportional to 236,212.14, 354,214.32 and 86,413.58 is: 129,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,212.14 : 354,214.32 = 86,413.58 : x
  2. Step 2: Convert to fraction form
    236,212.14/354,214.32 = 86,413.58/x
  3. Step 3: Cross multiply
    236,212.14x = 354,214.32 × 86,413.58
  4. Step 4: Simplify right side
    236,212.14x = 30,608,927,478.47
  5. Step 5: Solve for x
    x = 30,608,927,478.47/236,212.14
  6. Step 6: Final answer
    x = 129,582.36

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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.