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Finding the Fourth Proportional to 113,298, 156,243.96 and 82,643.28

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Solution

The fourth proportional to 113,298, 156,243.96 and 82,643.28 is: 113,969.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,298 : 156,243.96 = 82,643.28 : x
  2. Step 2: Convert to fraction form
    113,298/156,243.96 = 82,643.28/x
  3. Step 3: Cross multiply
    113,298x = 156,243.96 × 82,643.28
  4. Step 4: Simplify right side
    113,298x = 12,912,513,334.59
  5. Step 5: Solve for x
    x = 12,912,513,334.59/113,298
  6. Step 6: Final answer
    x = 113,969.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.