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Finding the Fourth Proportional to 180,584.86, 271,142.55 and 177,395.60

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Solution

The fourth proportional to 180,584.86, 271,142.55 and 177,395.60 is: 266,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,584.86 : 271,142.55 = 177,395.60 : x
  2. Step 2: Convert to fraction form
    180,584.86/271,142.55 = 177,395.60/x
  3. Step 3: Cross multiply
    180,584.86x = 271,142.55 × 177,395.60
  4. Step 4: Simplify right side
    180,584.86x = 48,099,495,698.16
  5. Step 5: Solve for x
    x = 48,099,495,698.16/180,584.86
  6. Step 6: Final answer
    x = 266,353.98

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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.