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Finding the Fourth Proportional to 120,591, 166,415.58 and 66,884.24

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Solution

The fourth proportional to 120,591, 166,415.58 and 66,884.24 is: 92,300.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,591 : 166,415.58 = 66,884.24 : x
  2. Step 2: Convert to fraction form
    120,591/166,415.58 = 66,884.24/x
  3. Step 3: Cross multiply
    120,591x = 166,415.58 × 66,884.24
  4. Step 4: Simplify right side
    120,591x = 11,130,579,592.46
  5. Step 5: Solve for x
    x = 11,130,579,592.46/120,591
  6. Step 6: Final answer
    x = 92,300.25

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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.