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Finding the Fourth Proportional to 164,019.32, 226,388.89 and 106,801.46

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Solution

The fourth proportional to 164,019.32, 226,388.89 and 106,801.46 is: 147,413.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,019.32 : 226,388.89 = 106,801.46 : x
  2. Step 2: Convert to fraction form
    164,019.32/226,388.89 = 106,801.46/x
  3. Step 3: Cross multiply
    164,019.32x = 226,388.89 × 106,801.46
  4. Step 4: Simplify right side
    164,019.32x = 24,178,663,979.78
  5. Step 5: Solve for x
    x = 24,178,663,979.78/164,019.32
  6. Step 6: Final answer
    x = 147,413.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.