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Finding the Fourth Proportional to 189,663.12, 284,571.18 and 84,410.10

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Solution

The fourth proportional to 189,663.12, 284,571.18 and 84,410.10 is: 126,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,663.12 : 284,571.18 = 84,410.10 : x
  2. Step 2: Convert to fraction form
    189,663.12/284,571.18 = 84,410.10/x
  3. Step 3: Cross multiply
    189,663.12x = 284,571.18 × 84,410.10
  4. Step 4: Simplify right side
    189,663.12x = 24,020,681,760.92
  5. Step 5: Solve for x
    x = 24,020,681,760.92/189,663.12
  6. Step 6: Final answer
    x = 126,649.20

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