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Finding the Fourth Proportional to 195,633.84, 293,450.76 and 106,838.90

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Solution

The fourth proportional to 195,633.84, 293,450.76 and 106,838.90 is: 160,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,633.84 : 293,450.76 = 106,838.90 : x
  2. Step 2: Convert to fraction form
    195,633.84/293,450.76 = 106,838.90/x
  3. Step 3: Cross multiply
    195,633.84x = 293,450.76 × 106,838.90
  4. Step 4: Simplify right side
    195,633.84x = 31,351,956,402.56
  5. Step 5: Solve for x
    x = 31,351,956,402.56/195,633.84
  6. Step 6: Final answer
    x = 160,258.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.