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Finding the Fourth Proportional to 173,297, 239,150.50 and 93,809

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Solution

The fourth proportional to 173,297, 239,150.50 and 93,809 is: 129,456.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,297 : 239,150.50 = 93,809 : x
  2. Step 2: Convert to fraction form
    173,297/239,150.50 = 93,809/x
  3. Step 3: Cross multiply
    173,297x = 239,150.50 × 93,809
  4. Step 4: Simplify right side
    173,297x = 22,434,469,254.50
  5. Step 5: Solve for x
    x = 22,434,469,254.50/173,297
  6. Step 6: Final answer
    x = 129,456.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.