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Finding the Fourth Proportional to 146,201.40, 218,816.10 and 106,106.40

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Solution

The fourth proportional to 146,201.40, 218,816.10 and 106,106.40 is: 158,806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,201.40 : 218,816.10 = 106,106.40 : x
  2. Step 2: Convert to fraction form
    146,201.40/218,816.10 = 106,106.40/x
  3. Step 3: Cross multiply
    146,201.40x = 218,816.10 × 106,106.40
  4. Step 4: Simplify right side
    146,201.40x = 23,217,788,633.04
  5. Step 5: Solve for x
    x = 23,217,788,633.04/146,201.40
  6. Step 6: Final answer
    x = 158,806.88

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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.