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Finding the Fourth Proportional to 200,857.56, 277,174.14 and 110,211.27

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Solution

The fourth proportional to 200,857.56, 277,174.14 and 110,211.27 is: 152,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,857.56 : 277,174.14 = 110,211.27 : x
  2. Step 2: Convert to fraction form
    200,857.56/277,174.14 = 110,211.27/x
  3. Step 3: Cross multiply
    200,857.56x = 277,174.14 × 110,211.27
  4. Step 4: Simplify right side
    200,857.56x = 30,547,712,527.86
  5. Step 5: Solve for x
    x = 30,547,712,527.86/200,857.56
  6. Step 6: Final answer
    x = 152,086.45

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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.