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Finding the Fourth Proportional to 143,096.40, 214,471.80 and 72,939.60

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Solution

The fourth proportional to 143,096.40, 214,471.80 and 72,939.60 is: 109,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,096.40 : 214,471.80 = 72,939.60 : x
  2. Step 2: Convert to fraction form
    143,096.40/214,471.80 = 72,939.60/x
  3. Step 3: Cross multiply
    143,096.40x = 214,471.80 × 72,939.60
  4. Step 4: Simplify right side
    143,096.40x = 15,643,487,303.28
  5. Step 5: Solve for x
    x = 15,643,487,303.28/143,096.40
  6. Step 6: Final answer
    x = 109,321.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.