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Finding the Fourth Proportional to 202,423.86, 303,565.32 and 84,063.42

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Solution

The fourth proportional to 202,423.86, 303,565.32 and 84,063.42 is: 126,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,423.86 : 303,565.32 = 84,063.42 : x
  2. Step 2: Convert to fraction form
    202,423.86/303,565.32 = 84,063.42/x
  3. Step 3: Cross multiply
    202,423.86x = 303,565.32 × 84,063.42
  4. Step 4: Simplify right side
    202,423.86x = 25,518,738,992.59
  5. Step 5: Solve for x
    x = 25,518,738,992.59/202,423.86
  6. Step 6: Final answer
    x = 126,065.86

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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.