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Finding the Fourth Proportional to 297,141.21, 445,707.14 and 119,643.57

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Solution

The fourth proportional to 297,141.21, 445,707.14 and 119,643.57 is: 179,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,141.21 : 445,707.14 = 119,643.57 : x
  2. Step 2: Convert to fraction form
    297,141.21/445,707.14 = 119,643.57/x
  3. Step 3: Cross multiply
    297,141.21x = 445,707.14 × 119,643.57
  4. Step 4: Simplify right side
    297,141.21x = 53,325,992,805.87
  5. Step 5: Solve for x
    x = 53,325,992,805.87/297,141.21
  6. Step 6: Final answer
    x = 179,463.47

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Why These Related Problems?

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