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Finding the Fourth Proportional to 199,642.20, 299,261.70 and 99,648.60

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Solution

The fourth proportional to 199,642.20, 299,261.70 and 99,648.60 is: 149,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,642.20 : 299,261.70 = 99,648.60 : x
  2. Step 2: Convert to fraction form
    199,642.20/299,261.70 = 99,648.60/x
  3. Step 3: Cross multiply
    199,642.20x = 299,261.70 × 99,648.60
  4. Step 4: Simplify right side
    199,642.20x = 29,821,009,438.62
  5. Step 5: Solve for x
    x = 29,821,009,438.62/199,642.20
  6. Step 6: Final answer
    x = 149,372.27

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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.