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Finding the Fourth Proportional to 200,467.44, 276,637.82 and 114,430.86

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Solution

The fourth proportional to 200,467.44, 276,637.82 and 114,430.86 is: 157,910.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,467.44 : 276,637.82 = 114,430.86 : x
  2. Step 2: Convert to fraction form
    200,467.44/276,637.82 = 114,430.86/x
  3. Step 3: Cross multiply
    200,467.44x = 276,637.82 × 114,430.86
  4. Step 4: Simplify right side
    200,467.44x = 31,655,903,078.97
  5. Step 5: Solve for x
    x = 31,655,903,078.97/200,467.44
  6. Step 6: Final answer
    x = 157,910.45

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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.