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Finding the Fourth Proportional to 189,418.60, 283,782.30 and 154,167.40

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Solution

The fourth proportional to 189,418.60, 283,782.30 and 154,167.40 is: 230,969.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,418.60 : 283,782.30 = 154,167.40 : x
  2. Step 2: Convert to fraction form
    189,418.60/283,782.30 = 154,167.40/x
  3. Step 3: Cross multiply
    189,418.60x = 283,782.30 × 154,167.40
  4. Step 4: Simplify right side
    189,418.60x = 43,749,979,357.02
  5. Step 5: Solve for x
    x = 43,749,979,357.02/189,418.60
  6. Step 6: Final answer
    x = 230,969.82

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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.