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Finding the Fourth Proportional to 199,425.40, 298,943.70 and 178,430.20

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Solution

The fourth proportional to 199,425.40, 298,943.70 and 178,430.20 is: 267,471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,425.40 : 298,943.70 = 178,430.20 : x
  2. Step 2: Convert to fraction form
    199,425.40/298,943.70 = 178,430.20/x
  3. Step 3: Cross multiply
    199,425.40x = 298,943.70 × 178,430.20
  4. Step 4: Simplify right side
    199,425.40x = 53,340,584,179.74
  5. Step 5: Solve for x
    x = 53,340,584,179.74/199,425.40
  6. Step 6: Final answer
    x = 267,471.37

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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.