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Finding the Fourth Proportional to 200,385.84, 276,532.96 and 108,506.08

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Solution

The fourth proportional to 200,385.84, 276,532.96 and 108,506.08 is: 149,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,385.84 : 276,532.96 = 108,506.08 : x
  2. Step 2: Convert to fraction form
    200,385.84/276,532.96 = 108,506.08/x
  3. Step 3: Cross multiply
    200,385.84x = 276,532.96 × 108,506.08
  4. Step 4: Simplify right side
    200,385.84x = 30,005,507,480.40
  5. Step 5: Solve for x
    x = 30,005,507,480.40/200,385.84
  6. Step 6: Final answer
    x = 149,738.66

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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.