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Finding the Fourth Proportional to 101,357.20, 152,021.40 and 34,800.40

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Solution

The fourth proportional to 101,357.20, 152,021.40 and 34,800.40 is: 52,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,357.20 : 152,021.40 = 34,800.40 : x
  2. Step 2: Convert to fraction form
    101,357.20/152,021.40 = 34,800.40/x
  3. Step 3: Cross multiply
    101,357.20x = 152,021.40 × 34,800.40
  4. Step 4: Simplify right side
    101,357.20x = 5,290,405,528.56
  5. Step 5: Solve for x
    x = 5,290,405,528.56/101,357.20
  6. Step 6: Final answer
    x = 52,195.66

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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.