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Finding the Fourth Proportional to 180,740.96, 271,113.28 and 47,640.32

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Solution

The fourth proportional to 180,740.96, 271,113.28 and 47,640.32 is: 71,460.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,740.96 : 271,113.28 = 47,640.32 : x
  2. Step 2: Convert to fraction form
    180,740.96/271,113.28 = 47,640.32/x
  3. Step 3: Cross multiply
    180,740.96x = 271,113.28 × 47,640.32
  4. Step 4: Simplify right side
    180,740.96x = 12,915,923,415.45
  5. Step 5: Solve for x
    x = 12,915,923,415.45/180,740.96
  6. Step 6: Final answer
    x = 71,460.96

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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.