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Finding the Fourth Proportional to 172,941.60, 259,268.40 and 73,178.40

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Solution

The fourth proportional to 172,941.60, 259,268.40 and 73,178.40 is: 109,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,941.60 : 259,268.40 = 73,178.40 : x
  2. Step 2: Convert to fraction form
    172,941.60/259,268.40 = 73,178.40/x
  3. Step 3: Cross multiply
    172,941.60x = 259,268.40 × 73,178.40
  4. Step 4: Simplify right side
    172,941.60x = 18,972,846,682.56
  5. Step 5: Solve for x
    x = 18,972,846,682.56/172,941.60
  6. Step 6: Final answer
    x = 109,706.67

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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.