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Finding the Fourth Proportional to 100,878.20, 151,301.10 and 30,741.20

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Solution

The fourth proportional to 100,878.20, 151,301.10 and 30,741.20 is: 46,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,878.20 : 151,301.10 = 30,741.20 : x
  2. Step 2: Convert to fraction form
    100,878.20/151,301.10 = 30,741.20/x
  3. Step 3: Cross multiply
    100,878.20x = 151,301.10 × 30,741.20
  4. Step 4: Simplify right side
    100,878.20x = 4,651,177,375.32
  5. Step 5: Solve for x
    x = 4,651,177,375.32/100,878.20
  6. Step 6: Final answer
    x = 46,106.86

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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.