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Finding the Fourth Proportional to 195,763.84, 270,146.88 and 106,337.92

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Solution

The fourth proportional to 195,763.84, 270,146.88 and 106,337.92 is: 146,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,763.84 : 270,146.88 = 106,337.92 : x
  2. Step 2: Convert to fraction form
    195,763.84/270,146.88 = 106,337.92/x
  3. Step 3: Cross multiply
    195,763.84x = 270,146.88 × 106,337.92
  4. Step 4: Simplify right side
    195,763.84x = 28,726,857,313.69
  5. Step 5: Solve for x
    x = 28,726,857,313.69/195,763.84
  6. Step 6: Final answer
    x = 146,742.41

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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.