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Finding the Fourth Proportional to 195,494, 269,783.16 and 106,070

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Solution

The fourth proportional to 195,494, 269,783.16 and 106,070 is: 146,377.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,494 : 269,783.16 = 106,070 : x
  2. Step 2: Convert to fraction form
    195,494/269,783.16 = 106,070/x
  3. Step 3: Cross multiply
    195,494x = 269,783.16 × 106,070
  4. Step 4: Simplify right side
    195,494x = 28,615,899,781.20
  5. Step 5: Solve for x
    x = 28,615,899,781.20/195,494
  6. Step 6: Final answer
    x = 146,377.38

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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.