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Finding the Fourth Proportional to 304,112.28, 419,668.38 and 168,141

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Solution

The fourth proportional to 304,112.28, 419,668.38 and 168,141 is: 232,030.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,112.28 : 419,668.38 = 168,141 : x
  2. Step 2: Convert to fraction form
    304,112.28/419,668.38 = 168,141/x
  3. Step 3: Cross multiply
    304,112.28x = 419,668.38 × 168,141
  4. Step 4: Simplify right side
    304,112.28x = 70,563,461,081.58
  5. Step 5: Solve for x
    x = 70,563,461,081.58/304,112.28
  6. Step 6: Final answer
    x = 232,030.95

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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.