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Finding the Fourth Proportional to 194,958, 292,438.44 and 47,214

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Solution

The fourth proportional to 194,958, 292,438.44 and 47,214 is: 70,821.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,958 : 292,438.44 = 47,214 : x
  2. Step 2: Convert to fraction form
    194,958/292,438.44 = 47,214/x
  3. Step 3: Cross multiply
    194,958x = 292,438.44 × 47,214
  4. Step 4: Simplify right side
    194,958x = 13,807,188,506.16
  5. Step 5: Solve for x
    x = 13,807,188,506.16/194,958
  6. Step 6: Final answer
    x = 70,821.35

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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.