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Finding the Fourth Proportional to 200,781.16, 277,086.68 and 120,193.08

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Solution

The fourth proportional to 200,781.16, 277,086.68 and 120,193.08 is: 165,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,781.16 : 277,086.68 = 120,193.08 : x
  2. Step 2: Convert to fraction form
    200,781.16/277,086.68 = 120,193.08/x
  3. Step 3: Cross multiply
    200,781.16x = 277,086.68 × 120,193.08
  4. Step 4: Simplify right side
    200,781.16x = 33,303,901,496.17
  5. Step 5: Solve for x
    x = 33,303,901,496.17/200,781.16
  6. Step 6: Final answer
    x = 165,871.65

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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.