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Finding the Fourth Proportional to 120,194.24, 165,861.24 and 66,476.12

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Solution

The fourth proportional to 120,194.24, 165,861.24 and 66,476.12 is: 91,733.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,194.24 : 165,861.24 = 66,476.12 : x
  2. Step 2: Convert to fraction form
    120,194.24/165,861.24 = 66,476.12/x
  3. Step 3: Cross multiply
    120,194.24x = 165,861.24 × 66,476.12
  4. Step 4: Simplify right side
    120,194.24x = 11,025,811,693.59
  5. Step 5: Solve for x
    x = 11,025,811,693.59/120,194.24
  6. Step 6: Final answer
    x = 91,733.28

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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.