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Finding the Fourth Proportional to 340,561.23, 510,841.97 and 140,661.92

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Solution

The fourth proportional to 340,561.23, 510,841.97 and 140,661.92 is: 210,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,561.23 : 510,841.97 = 140,661.92 : x
  2. Step 2: Convert to fraction form
    340,561.23/510,841.97 = 140,661.92/x
  3. Step 3: Cross multiply
    340,561.23x = 510,841.97 × 140,661.92
  4. Step 4: Simplify right side
    340,561.23x = 71,856,010,148.96
  5. Step 5: Solve for x
    x = 71,856,010,148.96/340,561.23
  6. Step 6: Final answer
    x = 210,992.92

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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.