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Finding the Fourth Proportional to 195,892, 270,330.96 and 106,468

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Solution

The fourth proportional to 195,892, 270,330.96 and 106,468 is: 146,925.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,892 : 270,330.96 = 106,468 : x
  2. Step 2: Convert to fraction form
    195,892/270,330.96 = 106,468/x
  3. Step 3: Cross multiply
    195,892x = 270,330.96 × 106,468
  4. Step 4: Simplify right side
    195,892x = 28,781,596,649.28
  5. Step 5: Solve for x
    x = 28,781,596,649.28/195,892
  6. Step 6: Final answer
    x = 146,925.84

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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.