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Finding the Fourth Proportional to 132,771.56, 199,194.24 and 57,898.24

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Solution

The fourth proportional to 132,771.56, 199,194.24 and 57,898.24 is: 86,863.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,771.56 : 199,194.24 = 57,898.24 : x
  2. Step 2: Convert to fraction form
    132,771.56/199,194.24 = 57,898.24/x
  3. Step 3: Cross multiply
    132,771.56x = 199,194.24 × 57,898.24
  4. Step 4: Simplify right side
    132,771.56x = 11,532,996,428.06
  5. Step 5: Solve for x
    x = 11,532,996,428.06/132,771.56
  6. Step 6: Final answer
    x = 86,863.46

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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.