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Finding the Fourth Proportional to 180,998.30, 271,496.10 and 54,638.30

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Solution

The fourth proportional to 180,998.30, 271,496.10 and 54,638.30 is: 81,957.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,998.30 : 271,496.10 = 54,638.30 : x
  2. Step 2: Convert to fraction form
    180,998.30/271,496.10 = 54,638.30/x
  3. Step 3: Cross multiply
    180,998.30x = 271,496.10 × 54,638.30
  4. Step 4: Simplify right side
    180,998.30x = 14,834,085,360.63
  5. Step 5: Solve for x
    x = 14,834,085,360.63/180,998.30
  6. Step 6: Final answer
    x = 81,957.04

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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.