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Finding the Fourth Proportional to 200,812.96, 277,122.16 and 111,388.96

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Solution

The fourth proportional to 200,812.96, 277,122.16 and 111,388.96 is: 153,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,812.96 : 277,122.16 = 111,388.96 : x
  2. Step 2: Convert to fraction form
    200,812.96/277,122.16 = 111,388.96/x
  3. Step 3: Cross multiply
    200,812.96x = 277,122.16 × 111,388.96
  4. Step 4: Simplify right side
    200,812.96x = 30,868,349,195.35
  5. Step 5: Solve for x
    x = 30,868,349,195.35/200,812.96
  6. Step 6: Final answer
    x = 153,716.92

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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.