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Finding the Fourth Proportional to 198,038.12, 297,052.24 and 57,797.96

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Solution

The fourth proportional to 198,038.12, 297,052.24 and 57,797.96 is: 86,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,038.12 : 297,052.24 = 57,797.96 : x
  2. Step 2: Convert to fraction form
    198,038.12/297,052.24 = 57,797.96/x
  3. Step 3: Cross multiply
    198,038.12x = 297,052.24 × 57,797.96
  4. Step 4: Simplify right side
    198,038.12x = 17,169,013,485.43
  5. Step 5: Solve for x
    x = 17,169,013,485.43/198,038.12
  6. Step 6: Final answer
    x = 86,695.50

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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.