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Finding the Fourth Proportional to 207,538.68, 286,382.70 and 116,892.12

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Solution

The fourth proportional to 207,538.68, 286,382.70 and 116,892.12 is: 161,299.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,538.68 : 286,382.70 = 116,892.12 : x
  2. Step 2: Convert to fraction form
    207,538.68/286,382.70 = 116,892.12/x
  3. Step 3: Cross multiply
    207,538.68x = 286,382.70 × 116,892.12
  4. Step 4: Simplify right side
    207,538.68x = 33,475,880,934.32
  5. Step 5: Solve for x
    x = 33,475,880,934.32/207,538.68
  6. Step 6: Final answer
    x = 161,299.48

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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.