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Finding the Fourth Proportional to 180,624.56, 271,202.12 and 177,435.32

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Solution

The fourth proportional to 180,624.56, 271,202.12 and 177,435.32 is: 266,413.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,624.56 : 271,202.12 = 177,435.32 : x
  2. Step 2: Convert to fraction form
    180,624.56/271,202.12 = 177,435.32/x
  3. Step 3: Cross multiply
    180,624.56x = 271,202.12 × 177,435.32
  4. Step 4: Simplify right side
    180,624.56x = 48,120,834,946.88
  5. Step 5: Solve for x
    x = 48,120,834,946.88/180,624.56
  6. Step 6: Final answer
    x = 266,413.58

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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.