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Finding the Fourth Proportional to 132,751.71, 199,096.11 and 37,978.97

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Solution

The fourth proportional to 132,751.71, 199,096.11 and 37,978.97 is: 56,959.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,751.71 : 199,096.11 = 37,978.97 : x
  2. Step 2: Convert to fraction form
    132,751.71/199,096.11 = 37,978.97/x
  3. Step 3: Cross multiply
    132,751.71x = 199,096.11 × 37,978.97
  4. Step 4: Simplify right side
    132,751.71x = 7,561,464,193.33
  5. Step 5: Solve for x
    x = 7,561,464,193.33/132,751.71
  6. Step 6: Final answer
    x = 56,959.45

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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.