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Finding the Fourth Proportional to 196,505.46, 294,729.48 and 96,638.85

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Solution

The fourth proportional to 196,505.46, 294,729.48 and 96,638.85 is: 144,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,505.46 : 294,729.48 = 96,638.85 : x
  2. Step 2: Convert to fraction form
    196,505.46/294,729.48 = 96,638.85/x
  3. Step 3: Cross multiply
    196,505.46x = 294,729.48 × 96,638.85
  4. Step 4: Simplify right side
    196,505.46x = 28,482,318,008.30
  5. Step 5: Solve for x
    x = 28,482,318,008.30/196,505.46
  6. Step 6: Final answer
    x = 144,944.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.