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Finding the Fourth Proportional to 189,186.48, 283,807.26 and 56,049.48

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Solution

The fourth proportional to 189,186.48, 283,807.26 and 56,049.48 is: 84,082.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,186.48 : 283,807.26 = 56,049.48 : x
  2. Step 2: Convert to fraction form
    189,186.48/283,807.26 = 56,049.48/x
  3. Step 3: Cross multiply
    189,186.48x = 283,807.26 × 56,049.48
  4. Step 4: Simplify right side
    189,186.48x = 15,907,249,343.22
  5. Step 5: Solve for x
    x = 15,907,249,343.22/189,186.48
  6. Step 6: Final answer
    x = 84,082.38

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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.