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Finding the Fourth Proportional to 100,114.92, 150,181.08 and 37,785.96

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Solution

The fourth proportional to 100,114.92, 150,181.08 and 37,785.96 is: 56,682.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,114.92 : 150,181.08 = 37,785.96 : x
  2. Step 2: Convert to fraction form
    100,114.92/150,181.08 = 37,785.96/x
  3. Step 3: Cross multiply
    100,114.92x = 150,181.08 × 37,785.96
  4. Step 4: Simplify right side
    100,114.92x = 5,674,736,281.64
  5. Step 5: Solve for x
    x = 5,674,736,281.64/100,114.92
  6. Step 6: Final answer
    x = 56,682.22

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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.