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Finding the Fourth Proportional to 200,905.74, 277,249.07 and 110,263.19

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Solution

The fourth proportional to 200,905.74, 277,249.07 and 110,263.19 is: 152,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,905.74 : 277,249.07 = 110,263.19 : x
  2. Step 2: Convert to fraction form
    200,905.74/277,249.07 = 110,263.19/x
  3. Step 3: Cross multiply
    200,905.74x = 277,249.07 × 110,263.19
  4. Step 4: Simplify right side
    200,905.74x = 30,570,364,945.17
  5. Step 5: Solve for x
    x = 30,570,364,945.17/200,905.74
  6. Step 6: Final answer
    x = 152,162.73

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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.