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Finding the Fourth Proportional to 274,881.60, 412,082.40 and 106,516.80

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Solution

The fourth proportional to 274,881.60, 412,082.40 and 106,516.80 is: 159,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,881.60 : 412,082.40 = 106,516.80 : x
  2. Step 2: Convert to fraction form
    274,881.60/412,082.40 = 106,516.80/x
  3. Step 3: Cross multiply
    274,881.60x = 412,082.40 × 106,516.80
  4. Step 4: Simplify right side
    274,881.60x = 43,893,698,584.32
  5. Step 5: Solve for x
    x = 43,893,698,584.32/274,881.60
  6. Step 6: Final answer
    x = 159,682.20

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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.