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Finding the Fourth Proportional to 180,232.62, 270,352.65 and 55,573.50

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Solution

The fourth proportional to 180,232.62, 270,352.65 and 55,573.50 is: 83,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,232.62 : 270,352.65 = 55,573.50 : x
  2. Step 2: Convert to fraction form
    180,232.62/270,352.65 = 55,573.50/x
  3. Step 3: Cross multiply
    180,232.62x = 270,352.65 × 55,573.50
  4. Step 4: Simplify right side
    180,232.62x = 15,024,442,994.78
  5. Step 5: Solve for x
    x = 15,024,442,994.78/180,232.62
  6. Step 6: Final answer
    x = 83,361.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.