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Finding the Fourth Proportional to 189,610.54, 284,415.81 and 56,487.36

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Solution

The fourth proportional to 189,610.54, 284,415.81 and 56,487.36 is: 84,731.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,610.54 : 284,415.81 = 56,487.36 : x
  2. Step 2: Convert to fraction form
    189,610.54/284,415.81 = 56,487.36/x
  3. Step 3: Cross multiply
    189,610.54x = 284,415.81 × 56,487.36
  4. Step 4: Simplify right side
    189,610.54x = 16,065,898,249.16
  5. Step 5: Solve for x
    x = 16,065,898,249.16/189,610.54
  6. Step 6: Final answer
    x = 84,731.04

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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.