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Finding the Fourth Proportional to 209,189.46, 288,681.48 and 113,696.16

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Solution

The fourth proportional to 209,189.46, 288,681.48 and 113,696.16 is: 156,900.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189.46 : 288,681.48 = 113,696.16 : x
  2. Step 2: Convert to fraction form
    209,189.46/288,681.48 = 113,696.16/x
  3. Step 3: Cross multiply
    209,189.46x = 288,681.48 × 113,696.16
  4. Step 4: Simplify right side
    209,189.46x = 32,821,975,739.12
  5. Step 5: Solve for x
    x = 32,821,975,739.12/209,189.46
  6. Step 6: Final answer
    x = 156,900.71

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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.