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Finding the Fourth Proportional to 100,422.84, 150,338.40 and 87,967.20

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Solution

The fourth proportional to 100,422.84, 150,338.40 and 87,967.20 is: 131,691.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.84 : 150,338.40 = 87,967.20 : x
  2. Step 2: Convert to fraction form
    100,422.84/150,338.40 = 87,967.20/x
  3. Step 3: Cross multiply
    100,422.84x = 150,338.40 × 87,967.20
  4. Step 4: Simplify right side
    100,422.84x = 13,224,848,100.48
  5. Step 5: Solve for x
    x = 13,224,848,100.48/100,422.84
  6. Step 6: Final answer
    x = 131,691.64

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1.5x scale

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.