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Finding the Fourth Proportional to 200,564.20, 276,780.77 and 109,918.22

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Solution

The fourth proportional to 200,564.20, 276,780.77 and 109,918.22 is: 151,688.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564.20 : 276,780.77 = 109,918.22 : x
  2. Step 2: Convert to fraction form
    200,564.20/276,780.77 = 109,918.22/x
  3. Step 3: Cross multiply
    200,564.20x = 276,780.77 × 109,918.22
  4. Step 4: Simplify right side
    200,564.20x = 30,423,249,568.63
  5. Step 5: Solve for x
    x = 30,423,249,568.63/200,564.20
  6. Step 6: Final answer
    x = 151,688.34

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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.