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Finding the Fourth Proportional to 209,189.94, 288,682.16 and 113,696.65

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Solution

The fourth proportional to 209,189.94, 288,682.16 and 113,696.65 is: 156,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189.94 : 288,682.16 = 113,696.65 : x
  2. Step 2: Convert to fraction form
    209,189.94/288,682.16 = 113,696.65/x
  3. Step 3: Cross multiply
    209,189.94x = 288,682.16 × 113,696.65
  4. Step 4: Simplify right side
    209,189.94x = 32,822,194,506.76
  5. Step 5: Solve for x
    x = 32,822,194,506.76/209,189.94
  6. Step 6: Final answer
    x = 156,901.40

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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.