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Finding the Fourth Proportional to 198,054.54, 297,060.75 and 55,896.30

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Solution

The fourth proportional to 198,054.54, 297,060.75 and 55,896.30 is: 83,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,054.54 : 297,060.75 = 55,896.30 : x
  2. Step 2: Convert to fraction form
    198,054.54/297,060.75 = 55,896.30/x
  3. Step 3: Cross multiply
    198,054.54x = 297,060.75 × 55,896.30
  4. Step 4: Simplify right side
    198,054.54x = 16,604,596,800.23
  5. Step 5: Solve for x
    x = 16,604,596,800.23/198,054.54
  6. Step 6: Final answer
    x = 83,838.51

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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.