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Finding the Fourth Proportional to 196,300.96, 294,445.16 and 82,509.06

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Solution

The fourth proportional to 196,300.96, 294,445.16 and 82,509.06 is: 123,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,300.96 : 294,445.16 = 82,509.06 : x
  2. Step 2: Convert to fraction form
    196,300.96/294,445.16 = 82,509.06/x
  3. Step 3: Cross multiply
    196,300.96x = 294,445.16 × 82,509.06
  4. Step 4: Simplify right side
    196,300.96x = 24,294,393,373.15
  5. Step 5: Solve for x
    x = 24,294,393,373.15/196,300.96
  6. Step 6: Final answer
    x = 123,760.95

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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.