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Finding the Fourth Proportional to 200,929.67, 277,286.46 and 110,294.12

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Solution

The fourth proportional to 200,929.67, 277,286.46 and 110,294.12 is: 152,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,929.67 : 277,286.46 = 110,294.12 : x
  2. Step 2: Convert to fraction form
    200,929.67/277,286.46 = 110,294.12/x
  3. Step 3: Cross multiply
    200,929.67x = 277,286.46 × 110,294.12
  4. Step 4: Simplify right side
    200,929.67x = 30,583,066,093.62
  5. Step 5: Solve for x
    x = 30,583,066,093.62/200,929.67
  6. Step 6: Final answer
    x = 152,207.82

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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.