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Finding the Fourth Proportional to 264,666.40, 396,999.60 and 106,813.60

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Solution

The fourth proportional to 264,666.40, 396,999.60 and 106,813.60 is: 160,220.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,666.40 : 396,999.60 = 106,813.60 : x
  2. Step 2: Convert to fraction form
    264,666.40/396,999.60 = 106,813.60/x
  3. Step 3: Cross multiply
    264,666.40x = 396,999.60 × 106,813.60
  4. Step 4: Simplify right side
    264,666.40x = 42,404,956,474.56
  5. Step 5: Solve for x
    x = 42,404,956,474.56/264,666.40
  6. Step 6: Final answer
    x = 160,220.40

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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.