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Finding the Fourth Proportional to 264,074.40, 396,228.24 and 106,610.40

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Solution

The fourth proportional to 264,074.40, 396,228.24 and 106,610.40 is: 159,962.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,074.40 : 396,228.24 = 106,610.40 : x
  2. Step 2: Convert to fraction form
    264,074.40/396,228.24 = 106,610.40/x
  3. Step 3: Cross multiply
    264,074.40x = 396,228.24 × 106,610.40
  4. Step 4: Simplify right side
    264,074.40x = 42,242,051,157.70
  5. Step 5: Solve for x
    x = 42,242,051,157.70/264,074.40
  6. Step 6: Final answer
    x = 159,962.69

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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.