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Finding the Fourth Proportional to 180,478.08, 270,983.23 and 100,671.97

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Solution

The fourth proportional to 180,478.08, 270,983.23 and 100,671.97 is: 151,156.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,478.08 : 270,983.23 = 100,671.97 : x
  2. Step 2: Convert to fraction form
    180,478.08/270,983.23 = 100,671.97/x
  3. Step 3: Cross multiply
    180,478.08x = 270,983.23 × 100,671.97
  4. Step 4: Simplify right side
    180,478.08x = 27,280,415,097.70
  5. Step 5: Solve for x
    x = 27,280,415,097.70/180,478.08
  6. Step 6: Final answer
    x = 151,156.39

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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.