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Finding the Fourth Proportional to 198,924.56, 298,506.62 and 72,575.90

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Solution

The fourth proportional to 198,924.56, 298,506.62 and 72,575.90 is: 108,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,924.56 : 298,506.62 = 72,575.90 : x
  2. Step 2: Convert to fraction form
    198,924.56/298,506.62 = 72,575.90/x
  3. Step 3: Cross multiply
    198,924.56x = 298,506.62 × 72,575.90
  4. Step 4: Simplify right side
    198,924.56x = 21,664,386,602.46
  5. Step 5: Solve for x
    x = 21,664,386,602.46/198,924.56
  6. Step 6: Final answer
    x = 108,907.55

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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.