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Finding the Fourth Proportional to 209,604.66, 289,446.56 and 133,148.40

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Solution

The fourth proportional to 209,604.66, 289,446.56 and 133,148.40 is: 183,866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,604.66 : 289,446.56 = 133,148.40 : x
  2. Step 2: Convert to fraction form
    209,604.66/289,446.56 = 133,148.40/x
  3. Step 3: Cross multiply
    209,604.66x = 289,446.56 × 133,148.40
  4. Step 4: Simplify right side
    209,604.66x = 38,539,344,236.53
  5. Step 5: Solve for x
    x = 38,539,344,236.53/209,604.66
  6. Step 6: Final answer
    x = 183,866.83

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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.