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Finding the Fourth Proportional to 189,597.42, 284,396.90 and 47,442.30

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Solution

The fourth proportional to 189,597.42, 284,396.90 and 47,442.30 is: 71,163.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,597.42 : 284,396.90 = 47,442.30 : x
  2. Step 2: Convert to fraction form
    189,597.42/284,396.90 = 47,442.30/x
  3. Step 3: Cross multiply
    189,597.42x = 284,396.90 × 47,442.30
  4. Step 4: Simplify right side
    189,597.42x = 13,492,443,048.87
  5. Step 5: Solve for x
    x = 13,492,443,048.87/189,597.42
  6. Step 6: Final answer
    x = 71,163.64

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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.