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Finding the Fourth Proportional to 218,983.84, 302,198.16 and 118,382.24

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Solution

The fourth proportional to 218,983.84, 302,198.16 and 118,382.24 is: 163,367.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,983.84 : 302,198.16 = 118,382.24 : x
  2. Step 2: Convert to fraction form
    218,983.84/302,198.16 = 118,382.24/x
  3. Step 3: Cross multiply
    218,983.84x = 302,198.16 × 118,382.24
  4. Step 4: Simplify right side
    218,983.84x = 35,774,895,104.68
  5. Step 5: Solve for x
    x = 35,774,895,104.68/218,983.84
  6. Step 6: Final answer
    x = 163,367.74

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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.