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Finding the Fourth Proportional to 180,906.84, 271,368.77 and 149,258.25

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Solution

The fourth proportional to 180,906.84, 271,368.77 and 149,258.25 is: 223,894.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,906.84 : 271,368.77 = 149,258.25 : x
  2. Step 2: Convert to fraction form
    180,906.84/271,368.77 = 149,258.25/x
  3. Step 3: Cross multiply
    180,906.84x = 271,368.77 × 149,258.25
  4. Step 4: Simplify right side
    180,906.84x = 40,504,026,968.56
  5. Step 5: Solve for x
    x = 40,504,026,968.56/180,906.84
  6. Step 6: Final answer
    x = 223,894.39

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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.