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Finding the Fourth Proportional to 193,532.25, 267,065.37 and 107,496.77

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Solution

The fourth proportional to 193,532.25, 267,065.37 and 107,496.77 is: 148,340.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,532.25 : 267,065.37 = 107,496.77 : x
  2. Step 2: Convert to fraction form
    193,532.25/267,065.37 = 107,496.77/x
  3. Step 3: Cross multiply
    193,532.25x = 267,065.37 × 107,496.77
  4. Step 4: Simplify right side
    193,532.25x = 28,708,663,318.53
  5. Step 5: Solve for x
    x = 28,708,663,318.53/193,532.25
  6. Step 6: Final answer
    x = 148,340.46

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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.