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Finding the Fourth Proportional to 209,092.24, 288,541.39 and 113,599.16

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Solution

The fourth proportional to 209,092.24, 288,541.39 and 113,599.16 is: 156,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,092.24 : 288,541.39 = 113,599.16 : x
  2. Step 2: Convert to fraction form
    209,092.24/288,541.39 = 113,599.16/x
  3. Step 3: Cross multiply
    209,092.24x = 288,541.39 × 113,599.16
  4. Step 4: Simplify right side
    209,092.24x = 32,778,059,097.56
  5. Step 5: Solve for x
    x = 32,778,059,097.56/209,092.24
  6. Step 6: Final answer
    x = 156,763.64

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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.