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Finding the Fourth Proportional to 200,408.72, 276,495.37 and 114,305.51

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Solution

The fourth proportional to 200,408.72, 276,495.37 and 114,305.51 is: 157,702.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,408.72 : 276,495.37 = 114,305.51 : x
  2. Step 2: Convert to fraction form
    200,408.72/276,495.37 = 114,305.51/x
  3. Step 3: Cross multiply
    200,408.72x = 276,495.37 × 114,305.51
  4. Step 4: Simplify right side
    200,408.72x = 31,604,944,685.96
  5. Step 5: Solve for x
    x = 31,604,944,685.96/200,408.72
  6. Step 6: Final answer
    x = 157,702.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.