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Finding the Fourth Proportional to 275,178.90, 413,555.66 and 135,035.94

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Solution

The fourth proportional to 275,178.90, 413,555.66 and 135,035.94 is: 202,940.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,178.90 : 413,555.66 = 135,035.94 : x
  2. Step 2: Convert to fraction form
    275,178.90/413,555.66 = 135,035.94/x
  3. Step 3: Cross multiply
    275,178.90x = 413,555.66 × 135,035.94
  4. Step 4: Simplify right side
    275,178.90x = 55,844,877,290.42
  5. Step 5: Solve for x
    x = 55,844,877,290.42/275,178.90
  6. Step 6: Final answer
    x = 202,940.26

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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.