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Finding the Fourth Proportional to 200,304.97, 276,420.94 and 109,666.80

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Solution

The fourth proportional to 200,304.97, 276,420.94 and 109,666.80 is: 151,340.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,304.97 : 276,420.94 = 109,666.80 : x
  2. Step 2: Convert to fraction form
    200,304.97/276,420.94 = 109,666.80/x
  3. Step 3: Cross multiply
    200,304.97x = 276,420.94 × 109,666.80
  4. Step 4: Simplify right side
    200,304.97x = 30,314,199,668.63
  5. Step 5: Solve for x
    x = 30,314,199,668.63/200,304.97
  6. Step 6: Final answer
    x = 151,340.23

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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.