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Finding the Fourth Proportional to 82,214.12, 123,313.12 and 55,730.25

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Solution

The fourth proportional to 82,214.12, 123,313.12 and 55,730.25 is: 83,589.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,214.12 : 123,313.12 = 55,730.25 : x
  2. Step 2: Convert to fraction form
    82,214.12/123,313.12 = 55,730.25/x
  3. Step 3: Cross multiply
    82,214.12x = 123,313.12 × 55,730.25
  4. Step 4: Simplify right side
    82,214.12x = 6,872,270,866.55
  5. Step 5: Solve for x
    x = 6,872,270,866.55/82,214.12
  6. Step 6: Final answer
    x = 83,589.91

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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.