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Finding the Fourth Proportional to 195,726, 270,101.88 and 106,302

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Solution

The fourth proportional to 195,726, 270,101.88 and 106,302 is: 146,696.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,726 : 270,101.88 = 106,302 : x
  2. Step 2: Convert to fraction form
    195,726/270,101.88 = 106,302/x
  3. Step 3: Cross multiply
    195,726x = 270,101.88 × 106,302
  4. Step 4: Simplify right side
    195,726x = 28,712,370,047.76
  5. Step 5: Solve for x
    x = 28,712,370,047.76/195,726
  6. Step 6: Final answer
    x = 146,696.76

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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.