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Finding the Fourth Proportional to 189,697.44, 284,502.36 and 84,459

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Solution

The fourth proportional to 189,697.44, 284,502.36 and 84,459 is: 126,669.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,697.44 : 284,502.36 = 84,459 : x
  2. Step 2: Convert to fraction form
    189,697.44/284,502.36 = 84,459/x
  3. Step 3: Cross multiply
    189,697.44x = 284,502.36 × 84,459
  4. Step 4: Simplify right side
    189,697.44x = 24,028,784,823.24
  5. Step 5: Solve for x
    x = 24,028,784,823.24/189,697.44
  6. Step 6: Final answer
    x = 126,669.00

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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.