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Finding the Fourth Proportional to 180,957.60, 271,436.40 and 136,051.20

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Solution

The fourth proportional to 180,957.60, 271,436.40 and 136,051.20 is: 204,076.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,957.60 : 271,436.40 = 136,051.20 : x
  2. Step 2: Convert to fraction form
    180,957.60/271,436.40 = 136,051.20/x
  3. Step 3: Cross multiply
    180,957.60x = 271,436.40 × 136,051.20
  4. Step 4: Simplify right side
    180,957.60x = 36,929,247,943.68
  5. Step 5: Solve for x
    x = 36,929,247,943.68/180,957.60
  6. Step 6: Final answer
    x = 204,076.80

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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.