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Finding the Fourth Proportional to 102,919.20, 154,378.80 and 32,805.60

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Solution

The fourth proportional to 102,919.20, 154,378.80 and 32,805.60 is: 49,208.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,919.20 : 154,378.80 = 32,805.60 : x
  2. Step 2: Convert to fraction form
    102,919.20/154,378.80 = 32,805.60/x
  3. Step 3: Cross multiply
    102,919.20x = 154,378.80 × 32,805.60
  4. Step 4: Simplify right side
    102,919.20x = 5,064,489,161.28
  5. Step 5: Solve for x
    x = 5,064,489,161.28/102,919.20
  6. Step 6: Final answer
    x = 49,208.40

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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.