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Finding the Fourth Proportional to 129,943.20, 194,914.80 and 120,223.20

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Solution

The fourth proportional to 129,943.20, 194,914.80 and 120,223.20 is: 180,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,943.20 : 194,914.80 = 120,223.20 : x
  2. Step 2: Convert to fraction form
    129,943.20/194,914.80 = 120,223.20/x
  3. Step 3: Cross multiply
    129,943.20x = 194,914.80 × 120,223.20
  4. Step 4: Simplify right side
    129,943.20x = 23,433,280,983.36
  5. Step 5: Solve for x
    x = 23,433,280,983.36/129,943.20
  6. Step 6: Final answer
    x = 180,334.80

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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.