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Finding the Fourth Proportional to 195,957, 270,422.58 and 106,534.92

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Solution

The fourth proportional to 195,957, 270,422.58 and 106,534.92 is: 147,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,957 : 270,422.58 = 106,534.92 : x
  2. Step 2: Convert to fraction form
    195,957/270,422.58 = 106,534.92/x
  3. Step 3: Cross multiply
    195,957x = 270,422.58 × 106,534.92
  4. Step 4: Simplify right side
    195,957x = 28,809,447,926.49
  5. Step 5: Solve for x
    x = 28,809,447,926.49/195,957
  6. Step 6: Final answer
    x = 147,019.23

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1.5x scale

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.