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Finding the Fourth Proportional to 189,634.54, 284,451.72 and 56,511.40

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Solution

The fourth proportional to 189,634.54, 284,451.72 and 56,511.40 is: 84,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,634.54 : 284,451.72 = 56,511.40 : x
  2. Step 2: Convert to fraction form
    189,634.54/284,451.72 = 56,511.40/x
  3. Step 3: Cross multiply
    189,634.54x = 284,451.72 × 56,511.40
  4. Step 4: Simplify right side
    189,634.54x = 16,074,764,929.61
  5. Step 5: Solve for x
    x = 16,074,764,929.61/189,634.54
  6. Step 6: Final answer
    x = 84,767.07

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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.