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Finding the Fourth Proportional to 195,838, 270,258.06 and 106,414

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Solution

The fourth proportional to 195,838, 270,258.06 and 106,414 is: 146,852.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,838 : 270,258.06 = 106,414 : x
  2. Step 2: Convert to fraction form
    195,838/270,258.06 = 106,414/x
  3. Step 3: Cross multiply
    195,838x = 270,258.06 × 106,414
  4. Step 4: Simplify right side
    195,838x = 28,759,241,196.84
  5. Step 5: Solve for x
    x = 28,759,241,196.84/195,838
  6. Step 6: Final answer
    x = 146,852.20

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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.