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Finding the Fourth Proportional to 157,446.10, 217,274.21 and 85,826.10

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Solution

The fourth proportional to 157,446.10, 217,274.21 and 85,826.10 is: 118,439.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,446.10 : 217,274.21 = 85,826.10 : x
  2. Step 2: Convert to fraction form
    157,446.10/217,274.21 = 85,826.10/x
  3. Step 3: Cross multiply
    157,446.10x = 217,274.21 × 85,826.10
  4. Step 4: Simplify right side
    157,446.10x = 18,647,798,074.88
  5. Step 5: Solve for x
    x = 18,647,798,074.88/157,446.10
  6. Step 6: Final answer
    x = 118,439.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.