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Finding the Fourth Proportional to 100,331.84, 138,464.16 and 55,619.84

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Solution

The fourth proportional to 100,331.84, 138,464.16 and 55,619.84 is: 76,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,331.84 : 138,464.16 = 55,619.84 : x
  2. Step 2: Convert to fraction form
    100,331.84/138,464.16 = 55,619.84/x
  3. Step 3: Cross multiply
    100,331.84x = 138,464.16 × 55,619.84
  4. Step 4: Simplify right side
    100,331.84x = 7,701,354,424.93
  5. Step 5: Solve for x
    x = 7,701,354,424.93/100,331.84
  6. Step 6: Final answer
    x = 76,758.83

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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.