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Finding the Fourth Proportional to 147,096.36, 202,997.52 and 83,436.84

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Solution

The fourth proportional to 147,096.36, 202,997.52 and 83,436.84 is: 115,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,096.36 : 202,997.52 = 83,436.84 : x
  2. Step 2: Convert to fraction form
    147,096.36/202,997.52 = 83,436.84/x
  3. Step 3: Cross multiply
    147,096.36x = 202,997.52 × 83,436.84
  4. Step 4: Simplify right side
    147,096.36x = 16,937,471,596.64
  5. Step 5: Solve for x
    x = 16,937,471,596.64/147,096.36
  6. Step 6: Final answer
    x = 115,145.42

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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.