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Finding the Fourth Proportional to 209,590.17, 289,234.40 and 114,096.84

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Solution

The fourth proportional to 209,590.17, 289,234.40 and 114,096.84 is: 157,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,590.17 : 289,234.40 = 114,096.84 : x
  2. Step 2: Convert to fraction form
    209,590.17/289,234.40 = 114,096.84/x
  3. Step 3: Cross multiply
    209,590.17x = 289,234.40 × 114,096.84
  4. Step 4: Simplify right side
    209,590.17x = 33,000,730,488.81
  5. Step 5: Solve for x
    x = 33,000,730,488.81/209,590.17
  6. Step 6: Final answer
    x = 157,453.62

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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.