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Finding the Fourth Proportional to 133,651.10, 199,922.61 and 101,820.33

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Solution

The fourth proportional to 133,651.10, 199,922.61 and 101,820.33 is: 152,308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,651.10 : 199,922.61 = 101,820.33 : x
  2. Step 2: Convert to fraction form
    133,651.10/199,922.61 = 101,820.33/x
  3. Step 3: Cross multiply
    133,651.10x = 199,922.61 × 101,820.33
  4. Step 4: Simplify right side
    133,651.10x = 20,356,186,506.49
  5. Step 5: Solve for x
    x = 20,356,186,506.49/133,651.10
  6. Step 6: Final answer
    x = 152,308.41

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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.