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Finding the Fourth Proportional to 290,071.16, 435,097.17 and 119,286.96

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Solution

The fourth proportional to 290,071.16, 435,097.17 and 119,286.96 is: 178,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,071.16 : 435,097.17 = 119,286.96 : x
  2. Step 2: Convert to fraction form
    290,071.16/435,097.17 = 119,286.96/x
  3. Step 3: Cross multiply
    290,071.16x = 435,097.17 × 119,286.96
  4. Step 4: Simplify right side
    290,071.16x = 51,901,419,026.47
  5. Step 5: Solve for x
    x = 51,901,419,026.47/290,071.16
  6. Step 6: Final answer
    x = 178,926.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.