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Finding the Fourth Proportional to 200,817.84, 277,097.76 and 115,918.50

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Solution

The fourth proportional to 200,817.84, 277,097.76 and 115,918.50 is: 159,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,817.84 : 277,097.76 = 115,918.50 : x
  2. Step 2: Convert to fraction form
    200,817.84/277,097.76 = 115,918.50/x
  3. Step 3: Cross multiply
    200,817.84x = 277,097.76 × 115,918.50
  4. Step 4: Simplify right side
    200,817.84x = 32,120,756,692.56
  5. Step 5: Solve for x
    x = 32,120,756,692.56/200,817.84
  6. Step 6: Final answer
    x = 159,949.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.