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Finding the Fourth Proportional to 264,205.71, 396,332.67 and 74,668.81

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Solution

The fourth proportional to 264,205.71, 396,332.67 and 74,668.81 is: 112,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,205.71 : 396,332.67 = 74,668.81 : x
  2. Step 2: Convert to fraction form
    264,205.71/396,332.67 = 74,668.81/x
  3. Step 3: Cross multiply
    264,205.71x = 396,332.67 × 74,668.81
  4. Step 4: Simplify right side
    264,205.71x = 29,593,688,833.02
  5. Step 5: Solve for x
    x = 29,593,688,833.02/264,205.71
  6. Step 6: Final answer
    x = 112,010.03

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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.