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Finding the Fourth Proportional to 198,392.34, 297,590.94 and 58,153.80

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Solution

The fourth proportional to 198,392.34, 297,590.94 and 58,153.80 is: 87,231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,392.34 : 297,590.94 = 58,153.80 : x
  2. Step 2: Convert to fraction form
    198,392.34/297,590.94 = 58,153.80/x
  3. Step 3: Cross multiply
    198,392.34x = 297,590.94 × 58,153.80
  4. Step 4: Simplify right side
    198,392.34x = 17,306,044,006.57
  5. Step 5: Solve for x
    x = 17,306,044,006.57/198,392.34
  6. Step 6: Final answer
    x = 87,231.41

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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.