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Finding the Fourth Proportional to 265,882.34, 366,918.77 and 145,026.22

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Solution

The fourth proportional to 265,882.34, 366,918.77 and 145,026.22 is: 200,136.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,882.34 : 366,918.77 = 145,026.22 : x
  2. Step 2: Convert to fraction form
    265,882.34/366,918.77 = 145,026.22/x
  3. Step 3: Cross multiply
    265,882.34x = 366,918.77 × 145,026.22
  4. Step 4: Simplify right side
    265,882.34x = 53,212,843,358.73
  5. Step 5: Solve for x
    x = 53,212,843,358.73/265,882.34
  6. Step 6: Final answer
    x = 200,136.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.