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Finding the Fourth Proportional to 82,462.30, 115,680.50 and 82,462.30

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Solution

The fourth proportional to 82,462.30, 115,680.50 and 82,462.30 is: 115,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,462.30 : 115,680.50 = 82,462.30 : x
  2. Step 2: Convert to fraction form
    82,462.30/115,680.50 = 82,462.30/x
  3. Step 3: Cross multiply
    82,462.30x = 115,680.50 × 82,462.30
  4. Step 4: Simplify right side
    82,462.30x = 9,539,280,095.15
  5. Step 5: Solve for x
    x = 9,539,280,095.15/82,462.30
  6. Step 6: Final answer
    x = 115,680.50

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.