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Finding the Fourth Proportional to 143,864.40, 198,533.72 and 83,471.01

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Solution

The fourth proportional to 143,864.40, 198,533.72 and 83,471.01 is: 115,190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,864.40 : 198,533.72 = 83,471.01 : x
  2. Step 2: Convert to fraction form
    143,864.40/198,533.72 = 83,471.01/x
  3. Step 3: Cross multiply
    143,864.40x = 198,533.72 × 83,471.01
  4. Step 4: Simplify right side
    143,864.40x = 16,571,808,717.43
  5. Step 5: Solve for x
    x = 16,571,808,717.43/143,864.40
  6. Step 6: Final answer
    x = 115,190.48

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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.