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Finding the Fourth Proportional to 225,965.16, 311,821.50 and 123,988.14

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Solution

The fourth proportional to 225,965.16, 311,821.50 and 123,988.14 is: 171,097.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,965.16 : 311,821.50 = 123,988.14 : x
  2. Step 2: Convert to fraction form
    225,965.16/311,821.50 = 123,988.14/x
  3. Step 3: Cross multiply
    225,965.16x = 311,821.50 × 123,988.14
  4. Step 4: Simplify right side
    225,965.16x = 38,662,167,797.01
  5. Step 5: Solve for x
    x = 38,662,167,797.01/225,965.16
  6. Step 6: Final answer
    x = 171,097.92

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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.