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Finding the Fourth Proportional to 256,652.69, 385,044.73 and 106,843.19

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Solution

The fourth proportional to 256,652.69, 385,044.73 and 106,843.19 is: 160,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,652.69 : 385,044.73 = 106,843.19 : x
  2. Step 2: Convert to fraction form
    256,652.69/385,044.73 = 106,843.19/x
  3. Step 3: Cross multiply
    256,652.69x = 385,044.73 × 106,843.19
  4. Step 4: Simplify right side
    256,652.69x = 41,139,405,053.56
  5. Step 5: Solve for x
    x = 41,139,405,053.56/256,652.69
  6. Step 6: Final answer
    x = 160,292.13

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