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Finding the Fourth Proportional to 126,471.65, 174,515.94 and 75,474.95

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Solution

The fourth proportional to 126,471.65, 174,515.94 and 75,474.95 is: 104,146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,471.65 : 174,515.94 = 75,474.95 : x
  2. Step 2: Convert to fraction form
    126,471.65/174,515.94 = 75,474.95/x
  3. Step 3: Cross multiply
    126,471.65x = 174,515.94 × 75,474.95
  4. Step 4: Simplify right side
    126,471.65x = 13,171,580,973.12
  5. Step 5: Solve for x
    x = 13,171,580,973.12/126,471.65
  6. Step 6: Final answer
    x = 104,146.51

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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.