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Finding the Fourth Proportional to 165,321.60, 248,097.60 and 106,300.80

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Solution

The fourth proportional to 165,321.60, 248,097.60 and 106,300.80 is: 159,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,321.60 : 248,097.60 = 106,300.80 : x
  2. Step 2: Convert to fraction form
    165,321.60/248,097.60 = 106,300.80/x
  3. Step 3: Cross multiply
    165,321.60x = 248,097.60 × 106,300.80
  4. Step 4: Simplify right side
    165,321.60x = 26,372,973,358.08
  5. Step 5: Solve for x
    x = 26,372,973,358.08/165,321.60
  6. Step 6: Final answer
    x = 159,525.27

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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.