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Finding the Fourth Proportional to 101,199.40, 151,799.10 and 31,069.60

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Solution

The fourth proportional to 101,199.40, 151,799.10 and 31,069.60 is: 46,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,199.40 : 151,799.10 = 31,069.60 : x
  2. Step 2: Convert to fraction form
    101,199.40/151,799.10 = 31,069.60/x
  3. Step 3: Cross multiply
    101,199.40x = 151,799.10 × 31,069.60
  4. Step 4: Simplify right side
    101,199.40x = 4,716,337,317.36
  5. Step 5: Solve for x
    x = 4,716,337,317.36/101,199.40
  6. Step 6: Final answer
    x = 46,604.40

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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.