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Finding the Fourth Proportional to 100,617.92, 138,855.29 and 55,297.05

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Solution

The fourth proportional to 100,617.92, 138,855.29 and 55,297.05 is: 76,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,617.92 : 138,855.29 = 55,297.05 : x
  2. Step 2: Convert to fraction form
    100,617.92/138,855.29 = 55,297.05/x
  3. Step 3: Cross multiply
    100,617.92x = 138,855.29 × 55,297.05
  4. Step 4: Simplify right side
    100,617.92x = 7,678,288,443.82
  5. Step 5: Solve for x
    x = 7,678,288,443.82/100,617.92
  6. Step 6: Final answer
    x = 76,311.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.