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Finding the Fourth Proportional to 82,215.10, 123,322.65 and 82,215.10

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Solution

The fourth proportional to 82,215.10, 123,322.65 and 82,215.10 is: 123,322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,215.10 : 123,322.65 = 82,215.10 : x
  2. Step 2: Convert to fraction form
    82,215.10/123,322.65 = 82,215.10/x
  3. Step 3: Cross multiply
    82,215.10x = 123,322.65 × 82,215.10
  4. Step 4: Simplify right side
    82,215.10x = 10,138,984,002.02
  5. Step 5: Solve for x
    x = 10,138,984,002.02/82,215.10
  6. Step 6: Final answer
    x = 123,322.65

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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.