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Finding the Fourth Proportional to 146,960.45, 202,821.28 and 83,291.41

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Solution

The fourth proportional to 146,960.45, 202,821.28 and 83,291.41 is: 114,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,960.45 : 202,821.28 = 83,291.41 : x
  2. Step 2: Convert to fraction form
    146,960.45/202,821.28 = 83,291.41/x
  3. Step 3: Cross multiply
    146,960.45x = 202,821.28 × 83,291.41
  4. Step 4: Simplify right side
    146,960.45x = 16,893,271,122.07
  5. Step 5: Solve for x
    x = 16,893,271,122.07/146,960.45
  6. Step 6: Final answer
    x = 114,951.14

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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.