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Finding the Fourth Proportional to 180,783.34, 271,177.86 and 68,433.39

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Solution

The fourth proportional to 180,783.34, 271,177.86 and 68,433.39 is: 102,651.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,783.34 : 271,177.86 = 68,433.39 : x
  2. Step 2: Convert to fraction form
    180,783.34/271,177.86 = 68,433.39/x
  3. Step 3: Cross multiply
    180,783.34x = 271,177.86 × 68,433.39
  4. Step 4: Simplify right side
    180,783.34x = 18,557,621,557.17
  5. Step 5: Solve for x
    x = 18,557,621,557.17/180,783.34
  6. Step 6: Final answer
    x = 102,651.17

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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.