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Finding the Fourth Proportional to 189,356.66, 283,986.27 and 56,205.38

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Solution

The fourth proportional to 189,356.66, 283,986.27 and 56,205.38 is: 84,293.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,356.66 : 283,986.27 = 56,205.38 : x
  2. Step 2: Convert to fraction form
    189,356.66/283,986.27 = 56,205.38/x
  3. Step 3: Cross multiply
    189,356.66x = 283,986.27 × 56,205.38
  4. Step 4: Simplify right side
    189,356.66x = 15,961,556,220.13
  5. Step 5: Solve for x
    x = 15,961,556,220.13/189,356.66
  6. Step 6: Final answer
    x = 84,293.61

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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.