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Finding the Fourth Proportional to 165,980.60, 248,970.90 and 41,321.60

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Solution

The fourth proportional to 165,980.60, 248,970.90 and 41,321.60 is: 61,982.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,980.60 : 248,970.90 = 41,321.60 : x
  2. Step 2: Convert to fraction form
    165,980.60/248,970.90 = 41,321.60/x
  3. Step 3: Cross multiply
    165,980.60x = 248,970.90 × 41,321.60
  4. Step 4: Simplify right side
    165,980.60x = 10,287,875,941.44
  5. Step 5: Solve for x
    x = 10,287,875,941.44/165,980.60
  6. Step 6: Final answer
    x = 61,982.40

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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.