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Finding the Fourth Proportional to 165,638.80, 248,458.20 and 149,309.20

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Solution

The fourth proportional to 165,638.80, 248,458.20 and 149,309.20 is: 223,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,638.80 : 248,458.20 = 149,309.20 : x
  2. Step 2: Convert to fraction form
    165,638.80/248,458.20 = 149,309.20/x
  3. Step 3: Cross multiply
    165,638.80x = 248,458.20 × 149,309.20
  4. Step 4: Simplify right side
    165,638.80x = 37,097,095,075.44
  5. Step 5: Solve for x
    x = 37,097,095,075.44/165,638.80
  6. Step 6: Final answer
    x = 223,963.80

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1.5x scale

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.