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Finding the Fourth Proportional to 149,540.76, 224,309.52 and 86,455.80

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Solution

The fourth proportional to 149,540.76, 224,309.52 and 86,455.80 is: 129,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,540.76 : 224,309.52 = 86,455.80 : x
  2. Step 2: Convert to fraction form
    149,540.76/224,309.52 = 86,455.80/x
  3. Step 3: Cross multiply
    149,540.76x = 224,309.52 × 86,455.80
  4. Step 4: Simplify right side
    149,540.76x = 19,392,858,999.22
  5. Step 5: Solve for x
    x = 19,392,858,999.22/149,540.76
  6. Step 6: Final answer
    x = 129,682.76

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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.