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Finding the Fourth Proportional to 265,892, 366,930.96 and 146,660

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Solution

The fourth proportional to 265,892, 366,930.96 and 146,660 is: 202,390.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,892 : 366,930.96 = 146,660 : x
  2. Step 2: Convert to fraction form
    265,892/366,930.96 = 146,660/x
  3. Step 3: Cross multiply
    265,892x = 366,930.96 × 146,660
  4. Step 4: Simplify right side
    265,892x = 53,814,094,593.60
  5. Step 5: Solve for x
    x = 53,814,094,593.60/265,892
  6. Step 6: Final answer
    x = 202,390.80

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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.