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Finding the Fourth Proportional to 180,800.36, 271,251.32 and 66,946.48

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Solution

The fourth proportional to 180,800.36, 271,251.32 and 66,946.48 is: 100,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,800.36 : 271,251.32 = 66,946.48 : x
  2. Step 2: Convert to fraction form
    180,800.36/271,251.32 = 66,946.48/x
  3. Step 3: Cross multiply
    180,800.36x = 271,251.32 × 66,946.48
  4. Step 4: Simplify right side
    180,800.36x = 18,159,321,069.35
  5. Step 5: Solve for x
    x = 18,159,321,069.35/180,800.36
  6. Step 6: Final answer
    x = 100,438.52

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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.