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Finding the Fourth Proportional to 209,861.32, 289,604.74 and 114,368.68

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Solution

The fourth proportional to 209,861.32, 289,604.74 and 114,368.68 is: 157,826.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,861.32 : 289,604.74 = 114,368.68 : x
  2. Step 2: Convert to fraction form
    209,861.32/289,604.74 = 114,368.68/x
  3. Step 3: Cross multiply
    209,861.32x = 289,604.74 × 114,368.68
  4. Step 4: Simplify right side
    209,861.32x = 33,121,711,835.54
  5. Step 5: Solve for x
    x = 33,121,711,835.54/209,861.32
  6. Step 6: Final answer
    x = 157,826.66

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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.