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Finding the Fourth Proportional to 192,439.60, 287,881.80 and 166,433.20

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Solution

The fourth proportional to 192,439.60, 287,881.80 and 166,433.20 is: 248,977.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,439.60 : 287,881.80 = 166,433.20 : x
  2. Step 2: Convert to fraction form
    192,439.60/287,881.80 = 166,433.20/x
  3. Step 3: Cross multiply
    192,439.60x = 287,881.80 × 166,433.20
  4. Step 4: Simplify right side
    192,439.60x = 47,913,089,195.76
  5. Step 5: Solve for x
    x = 47,913,089,195.76/192,439.60
  6. Step 6: Final answer
    x = 248,977.29

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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.