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Finding the Fourth Proportional to 265,186.26, 365,864.66 and 150,451.38

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Solution

The fourth proportional to 265,186.26, 365,864.66 and 150,451.38 is: 207,570.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,186.26 : 365,864.66 = 150,451.38 : x
  2. Step 2: Convert to fraction form
    265,186.26/365,864.66 = 150,451.38/x
  3. Step 3: Cross multiply
    265,186.26x = 365,864.66 × 150,451.38
  4. Step 4: Simplify right side
    265,186.26x = 55,044,842,990.23
  5. Step 5: Solve for x
    x = 55,044,842,990.23/265,186.26
  6. Step 6: Final answer
    x = 207,570.49

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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.