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Finding the Fourth Proportional to 274,895.60, 412,103.40 and 106,530.80

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Solution

The fourth proportional to 274,895.60, 412,103.40 and 106,530.80 is: 159,703.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,895.60 : 412,103.40 = 106,530.80 : x
  2. Step 2: Convert to fraction form
    274,895.60/412,103.40 = 106,530.80/x
  3. Step 3: Cross multiply
    274,895.60x = 412,103.40 × 106,530.80
  4. Step 4: Simplify right side
    274,895.60x = 43,901,704,884.72
  5. Step 5: Solve for x
    x = 43,901,704,884.72/274,895.60
  6. Step 6: Final answer
    x = 159,703.19

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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.