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Finding the Fourth Proportional to 101,199.40, 151,772.59 and 30,102.93

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Solution

The fourth proportional to 101,199.40, 151,772.59 and 30,102.93 is: 45,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,199.40 : 151,772.59 = 30,102.93 : x
  2. Step 2: Convert to fraction form
    101,199.40/151,772.59 = 30,102.93/x
  3. Step 3: Cross multiply
    101,199.40x = 151,772.59 × 30,102.93
  4. Step 4: Simplify right side
    101,199.40x = 4,568,799,652.69
  5. Step 5: Solve for x
    x = 4,568,799,652.69/101,199.40
  6. Step 6: Final answer
    x = 45,146.51

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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.