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Finding the Fourth Proportional to 147,096.81, 202,987.62 and 83,433.24

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Solution

The fourth proportional to 147,096.81, 202,987.62 and 83,433.24 is: 115,134.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,096.81 : 202,987.62 = 83,433.24 : x
  2. Step 2: Convert to fraction form
    147,096.81/202,987.62 = 83,433.24/x
  3. Step 3: Cross multiply
    147,096.81x = 202,987.62 × 83,433.24
  4. Step 4: Simplify right side
    147,096.81x = 16,935,914,816.49
  5. Step 5: Solve for x
    x = 16,935,914,816.49/147,096.81
  6. Step 6: Final answer
    x = 115,134.48

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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.