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Finding the Fourth Proportional to 198,038.92, 297,068.46 and 57,808.12

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Solution

The fourth proportional to 198,038.92, 297,068.46 and 57,808.12 is: 86,715.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,038.92 : 297,068.46 = 57,808.12 : x
  2. Step 2: Convert to fraction form
    198,038.92/297,068.46 = 57,808.12/x
  3. Step 3: Cross multiply
    198,038.92x = 297,068.46 × 57,808.12
  4. Step 4: Simplify right side
    198,038.92x = 17,172,969,183.90
  5. Step 5: Solve for x
    x = 17,172,969,183.90/198,038.92
  6. Step 6: Final answer
    x = 86,715.12

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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.