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Finding the Fourth Proportional to 198,173.79, 297,291.69 and 65,023.76

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Solution

The fourth proportional to 198,173.79, 297,291.69 and 65,023.76 is: 97,545.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,173.79 : 297,291.69 = 65,023.76 : x
  2. Step 2: Convert to fraction form
    198,173.79/297,291.69 = 65,023.76/x
  3. Step 3: Cross multiply
    198,173.79x = 297,291.69 × 65,023.76
  4. Step 4: Simplify right side
    198,173.79x = 19,331,024,243.78
  5. Step 5: Solve for x
    x = 19,331,024,243.78/198,173.79
  6. Step 6: Final answer
    x = 97,545.82

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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.