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Finding the Fourth Proportional to 198,792.56, 297,980.60 and 97,450.63

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Solution

The fourth proportional to 198,792.56, 297,980.60 and 97,450.63 is: 146,073.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,792.56 : 297,980.60 = 97,450.63 : x
  2. Step 2: Convert to fraction form
    198,792.56/297,980.60 = 97,450.63/x
  3. Step 3: Cross multiply
    198,792.56x = 297,980.60 × 97,450.63
  4. Step 4: Simplify right side
    198,792.56x = 29,038,395,965.57
  5. Step 5: Solve for x
    x = 29,038,395,965.57/198,792.56
  6. Step 6: Final answer
    x = 146,073.86

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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.