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Finding the Fourth Proportional to 193,876.20, 290,468.70 and 166,228.20

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Solution

The fourth proportional to 193,876.20, 290,468.70 and 166,228.20 is: 249,045.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,876.20 : 290,468.70 = 166,228.20 : x
  2. Step 2: Convert to fraction form
    193,876.20/290,468.70 = 166,228.20/x
  3. Step 3: Cross multiply
    193,876.20x = 290,468.70 × 166,228.20
  4. Step 4: Simplify right side
    193,876.20x = 48,284,089,157.34
  5. Step 5: Solve for x
    x = 48,284,089,157.34/193,876.20
  6. Step 6: Final answer
    x = 249,045.98

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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.