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Finding the Fourth Proportional to 264,178.72, 396,281.04 and 106,385.86

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Solution

The fourth proportional to 264,178.72, 396,281.04 and 106,385.86 is: 159,584.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,178.72 : 396,281.04 = 106,385.86 : x
  2. Step 2: Convert to fraction form
    264,178.72/396,281.04 = 106,385.86/x
  3. Step 3: Cross multiply
    264,178.72x = 396,281.04 × 106,385.86
  4. Step 4: Simplify right side
    264,178.72x = 42,158,699,242.09
  5. Step 5: Solve for x
    x = 42,158,699,242.09/264,178.72
  6. Step 6: Final answer
    x = 159,584.01

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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.