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Finding the Fourth Proportional to 173,896.34, 239,982.24 and 97,415.24

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Solution

The fourth proportional to 173,896.34, 239,982.24 and 97,415.24 is: 134,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,896.34 : 239,982.24 = 97,415.24 : x
  2. Step 2: Convert to fraction form
    173,896.34/239,982.24 = 97,415.24/x
  3. Step 3: Cross multiply
    173,896.34x = 239,982.24 × 97,415.24
  4. Step 4: Simplify right side
    173,896.34x = 23,377,929,033.06
  5. Step 5: Solve for x
    x = 23,377,929,033.06/173,896.34
  6. Step 6: Final answer
    x = 134,436.00

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Why These Related Problems?

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