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Finding the Fourth Proportional to 200,146.86, 276,201.54 and 109,501.14

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Solution

The fourth proportional to 200,146.86, 276,201.54 and 109,501.14 is: 151,110.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,146.86 : 276,201.54 = 109,501.14 : x
  2. Step 2: Convert to fraction form
    200,146.86/276,201.54 = 109,501.14/x
  3. Step 3: Cross multiply
    200,146.86x = 276,201.54 × 109,501.14
  4. Step 4: Simplify right side
    200,146.86x = 30,244,383,499.76
  5. Step 5: Solve for x
    x = 30,244,383,499.76/200,146.86
  6. Step 6: Final answer
    x = 151,110.96

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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.