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Finding the Fourth Proportional to 209,491.83, 289,095.91 and 113,998.30

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Solution

The fourth proportional to 209,491.83, 289,095.91 and 113,998.30 is: 157,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,491.83 : 289,095.91 = 113,998.30 : x
  2. Step 2: Convert to fraction form
    209,491.83/289,095.91 = 113,998.30/x
  3. Step 3: Cross multiply
    209,491.83x = 289,095.91 × 113,998.30
  4. Step 4: Simplify right side
    209,491.83x = 32,956,441,269.22
  5. Step 5: Solve for x
    x = 32,956,441,269.22/209,491.83
  6. Step 6: Final answer
    x = 157,316.12

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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.