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Finding the Fourth Proportional to 193,279.40, 289,919.10 and 180,157.40

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Solution

The fourth proportional to 193,279.40, 289,919.10 and 180,157.40 is: 270,236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,279.40 : 289,919.10 = 180,157.40 : x
  2. Step 2: Convert to fraction form
    193,279.40/289,919.10 = 180,157.40/x
  3. Step 3: Cross multiply
    193,279.40x = 289,919.10 × 180,157.40
  4. Step 4: Simplify right side
    193,279.40x = 52,231,071,266.34
  5. Step 5: Solve for x
    x = 52,231,071,266.34/193,279.40
  6. Step 6: Final answer
    x = 270,236.10

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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.