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Finding the Fourth Proportional to 270,776.22, 405,876.33 and 102,224.94

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Solution

The fourth proportional to 270,776.22, 405,876.33 and 102,224.94 is: 153,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,776.22 : 405,876.33 = 102,224.94 : x
  2. Step 2: Convert to fraction form
    270,776.22/405,876.33 = 102,224.94/x
  3. Step 3: Cross multiply
    270,776.22x = 405,876.33 × 102,224.94
  4. Step 4: Simplify right side
    270,776.22x = 41,490,683,481.67
  5. Step 5: Solve for x
    x = 41,490,683,481.67/270,776.22
  6. Step 6: Final answer
    x = 153,228.68

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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.