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Finding the Fourth Proportional to 180,852.68, 271,268.09 and 80,986.06

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Solution

The fourth proportional to 180,852.68, 271,268.09 and 80,986.06 is: 121,474.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,852.68 : 271,268.09 = 80,986.06 : x
  2. Step 2: Convert to fraction form
    180,852.68/271,268.09 = 80,986.06/x
  3. Step 3: Cross multiply
    180,852.68x = 271,268.09 × 80,986.06
  4. Step 4: Simplify right side
    180,852.68x = 21,968,934,050.68
  5. Step 5: Solve for x
    x = 21,968,934,050.68/180,852.68
  6. Step 6: Final answer
    x = 121,474.20

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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.