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Finding the Fourth Proportional to 198,468.54, 297,703.80 and 98,605.26

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Solution

The fourth proportional to 198,468.54, 297,703.80 and 98,605.26 is: 147,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,468.54 : 297,703.80 = 98,605.26 : x
  2. Step 2: Convert to fraction form
    198,468.54/297,703.80 = 98,605.26/x
  3. Step 3: Cross multiply
    198,468.54x = 297,703.80 × 98,605.26
  4. Step 4: Simplify right side
    198,468.54x = 29,355,160,601.99
  5. Step 5: Solve for x
    x = 29,355,160,601.99/198,468.54
  6. Step 6: Final answer
    x = 147,908.38

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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.