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Finding the Fourth Proportional to 264,641.42, 396,986.70 and 75,106.43

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Solution

The fourth proportional to 264,641.42, 396,986.70 and 75,106.43 is: 112,666.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,641.42 : 396,986.70 = 75,106.43 : x
  2. Step 2: Convert to fraction form
    264,641.42/396,986.70 = 75,106.43/x
  3. Step 3: Cross multiply
    264,641.42x = 396,986.70 × 75,106.43
  4. Step 4: Simplify right side
    264,641.42x = 29,816,251,809.55
  5. Step 5: Solve for x
    x = 29,816,251,809.55/264,641.42
  6. Step 6: Final answer
    x = 112,666.61

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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.