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Finding the Fourth Proportional to 100,297.43, 150,421.54 and 41,150.01

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Solution

The fourth proportional to 100,297.43, 150,421.54 and 41,150.01 is: 61,714.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,297.43 : 150,421.54 = 41,150.01 : x
  2. Step 2: Convert to fraction form
    100,297.43/150,421.54 = 41,150.01/x
  3. Step 3: Cross multiply
    100,297.43x = 150,421.54 × 41,150.01
  4. Step 4: Simplify right side
    100,297.43x = 6,189,847,875.22
  5. Step 5: Solve for x
    x = 6,189,847,875.22/100,297.43
  6. Step 6: Final answer
    x = 61,714.92

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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.