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Finding the Fourth Proportional to 209,059.26, 288,503.79 and 113,567.82

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Solution

The fourth proportional to 209,059.26, 288,503.79 and 113,567.82 is: 156,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,059.26 : 288,503.79 = 113,567.82 : x
  2. Step 2: Convert to fraction form
    209,059.26/288,503.79 = 113,567.82/x
  3. Step 3: Cross multiply
    209,059.26x = 288,503.79 × 113,567.82
  4. Step 4: Simplify right side
    209,059.26x = 32,764,746,492.04
  5. Step 5: Solve for x
    x = 32,764,746,492.04/209,059.26
  6. Step 6: Final answer
    x = 156,724.68

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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.