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Finding the Fourth Proportional to 82,458.30, 115,674.90 and 82,458.30

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Solution

The fourth proportional to 82,458.30, 115,674.90 and 82,458.30 is: 115,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,458.30 : 115,674.90 = 82,458.30 : x
  2. Step 2: Convert to fraction form
    82,458.30/115,674.90 = 82,458.30/x
  3. Step 3: Cross multiply
    82,458.30x = 115,674.90 × 82,458.30
  4. Step 4: Simplify right side
    82,458.30x = 9,538,355,606.67
  5. Step 5: Solve for x
    x = 9,538,355,606.67/82,458.30
  6. Step 6: Final answer
    x = 115,674.90

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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.