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Finding the Fourth Proportional to 192,441.60, 287,884.80 and 166,435.20

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Solution

The fourth proportional to 192,441.60, 287,884.80 and 166,435.20 is: 248,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,441.60 : 287,884.80 = 166,435.20 : x
  2. Step 2: Convert to fraction form
    192,441.60/287,884.80 = 166,435.20/x
  3. Step 3: Cross multiply
    192,441.60x = 287,884.80 × 166,435.20
  4. Step 4: Simplify right side
    192,441.60x = 47,914,164,264.96
  5. Step 5: Solve for x
    x = 47,914,164,264.96/192,441.60
  6. Step 6: Final answer
    x = 248,980.28

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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.