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Finding the Fourth Proportional to 198,992.96, 297,033.52 and 175,374.08

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Solution

The fourth proportional to 198,992.96, 297,033.52 and 175,374.08 is: 261,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,992.96 : 297,033.52 = 175,374.08 : x
  2. Step 2: Convert to fraction form
    198,992.96/297,033.52 = 175,374.08/x
  3. Step 3: Cross multiply
    198,992.96x = 297,033.52 × 175,374.08
  4. Step 4: Simplify right side
    198,992.96x = 52,091,980,299.16
  5. Step 5: Solve for x
    x = 52,091,980,299.16/198,992.96
  6. Step 6: Final answer
    x = 261,778.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.