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Finding the Fourth Proportional to 120,984.32, 166,958.88 and 67,274.24

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Solution

The fourth proportional to 120,984.32, 166,958.88 and 67,274.24 is: 92,838.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,984.32 : 166,958.88 = 67,274.24 : x
  2. Step 2: Convert to fraction form
    120,984.32/166,958.88 = 67,274.24/x
  3. Step 3: Cross multiply
    120,984.32x = 166,958.88 × 67,274.24
  4. Step 4: Simplify right side
    120,984.32x = 11,232,031,763.25
  5. Step 5: Solve for x
    x = 11,232,031,763.25/120,984.32
  6. Step 6: Final answer
    x = 92,838.74

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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.