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Finding the Fourth Proportional to 264,105.80, 364,470.96 and 162,080.19

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Solution

The fourth proportional to 264,105.80, 364,470.96 and 162,080.19 is: 223,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,105.80 : 364,470.96 = 162,080.19 : x
  2. Step 2: Convert to fraction form
    264,105.80/364,470.96 = 162,080.19/x
  3. Step 3: Cross multiply
    264,105.80x = 364,470.96 × 162,080.19
  4. Step 4: Simplify right side
    264,105.80x = 59,073,520,623.93
  5. Step 5: Solve for x
    x = 59,073,520,623.93/264,105.80
  6. Step 6: Final answer
    x = 223,673.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.