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Finding the Fourth Proportional to 132,970.94, 199,493.94 and 54,141.74

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Solution

The fourth proportional to 132,970.94, 199,493.94 and 54,141.74 is: 81,227.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,970.94 : 199,493.94 = 54,141.74 : x
  2. Step 2: Convert to fraction form
    132,970.94/199,493.94 = 54,141.74/x
  3. Step 3: Cross multiply
    132,970.94x = 199,493.94 × 54,141.74
  4. Step 4: Simplify right side
    132,970.94x = 10,800,949,031.06
  5. Step 5: Solve for x
    x = 10,800,949,031.06/132,970.94
  6. Step 6: Final answer
    x = 81,227.89

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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.