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Finding the Fourth Proportional to 225,732.81, 338,606.41 and 83,613.86

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Solution

The fourth proportional to 225,732.81, 338,606.41 and 83,613.86 is: 125,423.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,732.81 : 338,606.41 = 83,613.86 : x
  2. Step 2: Convert to fraction form
    225,732.81/338,606.41 = 83,613.86/x
  3. Step 3: Cross multiply
    225,732.81x = 338,606.41 × 83,613.86
  4. Step 4: Simplify right side
    225,732.81x = 28,312,188,960.84
  5. Step 5: Solve for x
    x = 28,312,188,960.84/225,732.81
  6. Step 6: Final answer
    x = 125,423.46

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1.5x scale

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.