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Finding the Fourth Proportional to 180,539.52, 270,852.54 and 55,880.52

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Solution

The fourth proportional to 180,539.52, 270,852.54 and 55,880.52 is: 83,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,539.52 : 270,852.54 = 55,880.52 : x
  2. Step 2: Convert to fraction form
    180,539.52/270,852.54 = 55,880.52/x
  3. Step 3: Cross multiply
    180,539.52x = 270,852.54 × 55,880.52
  4. Step 4: Simplify right side
    180,539.52x = 15,135,380,778.52
  5. Step 5: Solve for x
    x = 15,135,380,778.52/180,539.52
  6. Step 6: Final answer
    x = 83,834.17

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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.