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Finding the Fourth Proportional to 180,783.52, 271,190.94 and 47,662.72

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Solution

The fourth proportional to 180,783.52, 271,190.94 and 47,662.72 is: 71,498.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,783.52 : 271,190.94 = 47,662.72 : x
  2. Step 2: Convert to fraction form
    180,783.52/271,190.94 = 47,662.72/x
  3. Step 3: Cross multiply
    180,783.52x = 271,190.94 × 47,662.72
  4. Step 4: Simplify right side
    180,783.52x = 12,925,697,839.76
  5. Step 5: Solve for x
    x = 12,925,697,839.76/180,783.52
  6. Step 6: Final answer
    x = 71,498.21

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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.