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Finding the Fourth Proportional to 198,385.44, 297,597.76 and 65,211.68

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Solution

The fourth proportional to 198,385.44, 297,597.76 and 65,211.68 is: 97,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,385.44 : 297,597.76 = 65,211.68 : x
  2. Step 2: Convert to fraction form
    198,385.44/297,597.76 = 65,211.68/x
  3. Step 3: Cross multiply
    198,385.44x = 297,597.76 × 65,211.68
  4. Step 4: Simplify right side
    198,385.44x = 19,406,849,893.84
  5. Step 5: Solve for x
    x = 19,406,849,893.84/198,385.44
  6. Step 6: Final answer
    x = 97,823.96

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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.