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Finding the Fourth Proportional to 180,844.80, 271,526.40 and 136,780.80

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Solution

The fourth proportional to 180,844.80, 271,526.40 and 136,780.80 is: 205,367.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,844.80 : 271,526.40 = 136,780.80 : x
  2. Step 2: Convert to fraction form
    180,844.80/271,526.40 = 136,780.80/x
  3. Step 3: Cross multiply
    180,844.80x = 271,526.40 × 136,780.80
  4. Step 4: Simplify right side
    180,844.80x = 37,139,598,213.12
  5. Step 5: Solve for x
    x = 37,139,598,213.12/180,844.80
  6. Step 6: Final answer
    x = 205,367.24

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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.