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Finding the Fourth Proportional to 222,906, 334,413.02 and 128,196.80

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Solution

The fourth proportional to 222,906, 334,413.02 and 128,196.80 is: 192,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,906 : 334,413.02 = 128,196.80 : x
  2. Step 2: Convert to fraction form
    222,906/334,413.02 = 128,196.80/x
  3. Step 3: Cross multiply
    222,906x = 334,413.02 × 128,196.80
  4. Step 4: Simplify right side
    222,906x = 42,870,679,042.34
  5. Step 5: Solve for x
    x = 42,870,679,042.34/222,906
  6. Step 6: Final answer
    x = 192,326.27

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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.