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Finding the Fourth Proportional to 193,655.20, 290,425.20 and 75,258.40

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Solution

The fourth proportional to 193,655.20, 290,425.20 and 75,258.40 is: 112,865.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,655.20 : 290,425.20 = 75,258.40 : x
  2. Step 2: Convert to fraction form
    193,655.20/290,425.20 = 75,258.40/x
  3. Step 3: Cross multiply
    193,655.20x = 290,425.20 × 75,258.40
  4. Step 4: Simplify right side
    193,655.20x = 21,856,935,871.68
  5. Step 5: Solve for x
    x = 21,856,935,871.68/193,655.20
  6. Step 6: Final answer
    x = 112,865.22

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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.