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Finding the Fourth Proportional to 189,220.56, 283,832 and 56,102.08

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Solution

The fourth proportional to 189,220.56, 283,832 and 56,102.08 is: 84,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,220.56 : 283,832 = 56,102.08 : x
  2. Step 2: Convert to fraction form
    189,220.56/283,832 = 56,102.08/x
  3. Step 3: Cross multiply
    189,220.56x = 283,832 × 56,102.08
  4. Step 4: Simplify right side
    189,220.56x = 15,923,565,570.56
  5. Step 5: Solve for x
    x = 15,923,565,570.56/189,220.56
  6. Step 6: Final answer
    x = 84,153.46

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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.