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Finding the Fourth Proportional to 198,346.92, 297,541.13 and 65,237.55

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Solution

The fourth proportional to 198,346.92, 297,541.13 and 65,237.55 is: 97,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,346.92 : 297,541.13 = 65,237.55 : x
  2. Step 2: Convert to fraction form
    198,346.92/297,541.13 = 65,237.55/x
  3. Step 3: Cross multiply
    198,346.92x = 297,541.13 × 65,237.55
  4. Step 4: Simplify right side
    198,346.92x = 19,410,855,252.38
  5. Step 5: Solve for x
    x = 19,410,855,252.38/198,346.92
  6. Step 6: Final answer
    x = 97,863.16

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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.