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Finding the Fourth Proportional to 274,865.27, 412,347.11 and 141,709.77

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Solution

The fourth proportional to 274,865.27, 412,347.11 and 141,709.77 is: 212,590.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,865.27 : 412,347.11 = 141,709.77 : x
  2. Step 2: Convert to fraction form
    274,865.27/412,347.11 = 141,709.77/x
  3. Step 3: Cross multiply
    274,865.27x = 412,347.11 × 141,709.77
  4. Step 4: Simplify right side
    274,865.27x = 58,433,613,409.72
  5. Step 5: Solve for x
    x = 58,433,613,409.72/274,865.27
  6. Step 6: Final answer
    x = 212,590.02

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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.