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Finding the Fourth Proportional to 209,565.63, 289,188.83 and 114,066.63

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Solution

The fourth proportional to 209,565.63, 289,188.83 and 114,066.63 is: 157,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,565.63 : 289,188.83 = 114,066.63 : x
  2. Step 2: Convert to fraction form
    209,565.63/289,188.83 = 114,066.63/x
  3. Step 3: Cross multiply
    209,565.63x = 289,188.83 × 114,066.63
  4. Step 4: Simplify right side
    209,565.63x = 32,986,795,556.91
  5. Step 5: Solve for x
    x = 32,986,795,556.91/209,565.63
  6. Step 6: Final answer
    x = 157,405.56

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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.