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Finding the Fourth Proportional to 180,478.08, 270,983.25 and 100,671.98

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Solution

The fourth proportional to 180,478.08, 270,983.25 and 100,671.98 is: 151,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,478.08 : 270,983.25 = 100,671.98 : x
  2. Step 2: Convert to fraction form
    180,478.08/270,983.25 = 100,671.98/x
  3. Step 3: Cross multiply
    180,478.08x = 270,983.25 × 100,671.98
  4. Step 4: Simplify right side
    180,478.08x = 27,280,418,969.42
  5. Step 5: Solve for x
    x = 27,280,418,969.42/180,478.08
  6. Step 6: Final answer
    x = 151,156.41

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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.