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Finding the Fourth Proportional to 146,908.32, 202,729.26 and 83,266.68

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Solution

The fourth proportional to 146,908.32, 202,729.26 and 83,266.68 is: 114,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,908.32 : 202,729.26 = 83,266.68 : x
  2. Step 2: Convert to fraction form
    146,908.32/202,729.26 = 83,266.68/x
  3. Step 3: Cross multiply
    146,908.32x = 202,729.26 × 83,266.68
  4. Step 4: Simplify right side
    146,908.32x = 16,880,592,419.06
  5. Step 5: Solve for x
    x = 16,880,592,419.06/146,908.32
  6. Step 6: Final answer
    x = 114,905.63

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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.