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Finding the Fourth Proportional to 129,647.40, 194,471.10 and 85,410.60

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Solution

The fourth proportional to 129,647.40, 194,471.10 and 85,410.60 is: 128,115.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,647.40 : 194,471.10 = 85,410.60 : x
  2. Step 2: Convert to fraction form
    129,647.40/194,471.10 = 85,410.60/x
  3. Step 3: Cross multiply
    129,647.40x = 194,471.10 × 85,410.60
  4. Step 4: Simplify right side
    129,647.40x = 16,609,893,333.66
  5. Step 5: Solve for x
    x = 16,609,893,333.66/129,647.40
  6. Step 6: Final answer
    x = 128,115.90

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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.