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Finding the Fourth Proportional to 128,000.40, 192,000.60 and 120,742.80

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Solution

The fourth proportional to 128,000.40, 192,000.60 and 120,742.80 is: 181,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,000.40 : 192,000.60 = 120,742.80 : x
  2. Step 2: Convert to fraction form
    128,000.40/192,000.60 = 120,742.80/x
  3. Step 3: Cross multiply
    128,000.40x = 192,000.60 × 120,742.80
  4. Step 4: Simplify right side
    128,000.40x = 23,182,690,045.68
  5. Step 5: Solve for x
    x = 23,182,690,045.68/128,000.40
  6. Step 6: Final answer
    x = 181,114.20

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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.