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Finding the Fourth Proportional to 209,597.01, 289,234.80 and 114,104.04

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Solution

The fourth proportional to 209,597.01, 289,234.80 and 114,104.04 is: 157,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,597.01 : 289,234.80 = 114,104.04 : x
  2. Step 2: Convert to fraction form
    209,597.01/289,234.80 = 114,104.04/x
  3. Step 3: Cross multiply
    209,597.01x = 289,234.80 × 114,104.04
  4. Step 4: Simplify right side
    209,597.01x = 33,002,859,188.59
  5. Step 5: Solve for x
    x = 33,002,859,188.59/209,597.01
  6. Step 6: Final answer
    x = 157,458.64

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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.