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Finding the Fourth Proportional to 209,566.86, 289,208.79 and 114,079.92

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Solution

The fourth proportional to 209,566.86, 289,208.79 and 114,079.92 is: 157,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,566.86 : 289,208.79 = 114,079.92 : x
  2. Step 2: Convert to fraction form
    209,566.86/289,208.79 = 114,079.92/x
  3. Step 3: Cross multiply
    209,566.86x = 289,208.79 × 114,079.92
  4. Step 4: Simplify right side
    209,566.86x = 32,992,915,626.50
  5. Step 5: Solve for x
    x = 32,992,915,626.50/209,566.86
  6. Step 6: Final answer
    x = 157,433.84

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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.