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Finding the Fourth Proportional to 195,558, 269,870.08 and 106,134

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Solution

The fourth proportional to 195,558, 269,870.08 and 106,134 is: 146,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,558 : 269,870.08 = 106,134 : x
  2. Step 2: Convert to fraction form
    195,558/269,870.08 = 106,134/x
  3. Step 3: Cross multiply
    195,558x = 269,870.08 × 106,134
  4. Step 4: Simplify right side
    195,558x = 28,642,391,070.72
  5. Step 5: Solve for x
    x = 28,642,391,070.72/195,558
  6. Step 6: Final answer
    x = 146,464.94

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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.