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Finding the Fourth Proportional to 146,836, 202,616.49 and 86,393.35

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Solution

The fourth proportional to 146,836, 202,616.49 and 86,393.35 is: 119,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,836 : 202,616.49 = 86,393.35 : x
  2. Step 2: Convert to fraction form
    146,836/202,616.49 = 86,393.35/x
  3. Step 3: Cross multiply
    146,836x = 202,616.49 × 86,393.35
  4. Step 4: Simplify right side
    146,836x = 17,504,717,336.34
  5. Step 5: Solve for x
    x = 17,504,717,336.34/146,836
  6. Step 6: Final answer
    x = 119,212.71

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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.