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Finding the Fourth Proportional to 209,793.12, 289,514.54 and 114,299.82

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Solution

The fourth proportional to 209,793.12, 289,514.54 and 114,299.82 is: 157,733.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,793.12 : 289,514.54 = 114,299.82 : x
  2. Step 2: Convert to fraction form
    209,793.12/289,514.54 = 114,299.82/x
  3. Step 3: Cross multiply
    209,793.12x = 289,514.54 × 114,299.82
  4. Step 4: Simplify right side
    209,793.12x = 33,091,459,237.88
  5. Step 5: Solve for x
    x = 33,091,459,237.88/209,793.12
  6. Step 6: Final answer
    x = 157,733.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.