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Finding the Fourth Proportional to 189,371.88, 284,008.91 and 56,222.01

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Solution

The fourth proportional to 189,371.88, 284,008.91 and 56,222.01 is: 84,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,371.88 : 284,008.91 = 56,222.01 : x
  2. Step 2: Convert to fraction form
    189,371.88/284,008.91 = 56,222.01/x
  3. Step 3: Cross multiply
    189,371.88x = 284,008.91 × 56,222.01
  4. Step 4: Simplify right side
    189,371.88x = 15,967,551,497.00
  5. Step 5: Solve for x
    x = 15,967,551,497.00/189,371.88
  6. Step 6: Final answer
    x = 84,318.49

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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.