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Finding the Fourth Proportional to 200,769.93, 277,085.66 and 120,197.39

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Solution

The fourth proportional to 200,769.93, 277,085.66 and 120,197.39 is: 165,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769.93 : 277,085.66 = 120,197.39 : x
  2. Step 2: Convert to fraction form
    200,769.93/277,085.66 = 120,197.39/x
  3. Step 3: Cross multiply
    200,769.93x = 277,085.66 × 120,197.39
  4. Step 4: Simplify right side
    200,769.93x = 33,304,971,152.01
  5. Step 5: Solve for x
    x = 33,304,971,152.01/200,769.93
  6. Step 6: Final answer
    x = 165,886.25

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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.