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Finding the Fourth Proportional to 142,183.42, 196,217.96 and 84,089.96

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Solution

The fourth proportional to 142,183.42, 196,217.96 and 84,089.96 is: 116,047.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,183.42 : 196,217.96 = 84,089.96 : x
  2. Step 2: Convert to fraction form
    142,183.42/196,217.96 = 84,089.96/x
  3. Step 3: Cross multiply
    142,183.42x = 196,217.96 × 84,089.96
  4. Step 4: Simplify right side
    142,183.42x = 16,499,959,636.82
  5. Step 5: Solve for x
    x = 16,499,959,636.82/142,183.42
  6. Step 6: Final answer
    x = 116,047.00

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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.