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Finding the Fourth Proportional to 100,338.84, 138,466.53 and 55,016.68

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Solution

The fourth proportional to 100,338.84, 138,466.53 and 55,016.68 is: 75,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,338.84 : 138,466.53 = 55,016.68 : x
  2. Step 2: Convert to fraction form
    100,338.84/138,466.53 = 55,016.68/x
  3. Step 3: Cross multiply
    100,338.84x = 138,466.53 × 55,016.68
  4. Step 4: Simplify right side
    100,338.84x = 7,617,968,647.80
  5. Step 5: Solve for x
    x = 7,617,968,647.80/100,338.84
  6. Step 6: Final answer
    x = 75,922.43

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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.