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Finding the Fourth Proportional to 193,843.80, 290,765.70 and 100,378.20

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Solution

The fourth proportional to 193,843.80, 290,765.70 and 100,378.20 is: 150,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,843.80 : 290,765.70 = 100,378.20 : x
  2. Step 2: Convert to fraction form
    193,843.80/290,765.70 = 100,378.20/x
  3. Step 3: Cross multiply
    193,843.80x = 290,765.70 × 100,378.20
  4. Step 4: Simplify right side
    193,843.80x = 29,186,537,587.74
  5. Step 5: Solve for x
    x = 29,186,537,587.74/193,843.80
  6. Step 6: Final answer
    x = 150,567.30

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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.