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Finding the Fourth Proportional to 198,656.58, 297,657.16 and 114,487.44

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Solution

The fourth proportional to 198,656.58, 297,657.16 and 114,487.44 is: 171,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,656.58 : 297,657.16 = 114,487.44 : x
  2. Step 2: Convert to fraction form
    198,656.58/297,657.16 = 114,487.44/x
  3. Step 3: Cross multiply
    198,656.58x = 297,657.16 × 114,487.44
  4. Step 4: Simplify right side
    198,656.58x = 34,078,006,246.07
  5. Step 5: Solve for x
    x = 34,078,006,246.07/198,656.58
  6. Step 6: Final answer
    x = 171,542.30

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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.