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Finding the Fourth Proportional to 198,552.32, 297,865.37 and 65,441.93

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Solution

The fourth proportional to 198,552.32, 297,865.37 and 65,441.93 is: 98,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,552.32 : 297,865.37 = 65,441.93 : x
  2. Step 2: Convert to fraction form
    198,552.32/297,865.37 = 65,441.93/x
  3. Step 3: Cross multiply
    198,552.32x = 297,865.37 × 65,441.93
  4. Step 4: Simplify right side
    198,552.32x = 19,492,884,692.96
  5. Step 5: Solve for x
    x = 19,492,884,692.96/198,552.32
  6. Step 6: Final answer
    x = 98,175.05

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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.