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Finding the Fourth Proportional to 165,782.40, 248,380.80 and 160,300.80

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Solution

The fourth proportional to 165,782.40, 248,380.80 and 160,300.80 is: 240,168.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,782.40 : 248,380.80 = 160,300.80 : x
  2. Step 2: Convert to fraction form
    165,782.40/248,380.80 = 160,300.80/x
  3. Step 3: Cross multiply
    165,782.40x = 248,380.80 × 160,300.80
  4. Step 4: Simplify right side
    165,782.40x = 39,815,640,944.64
  5. Step 5: Solve for x
    x = 39,815,640,944.64/165,782.40
  6. Step 6: Final answer
    x = 240,168.08

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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.