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Finding the Fourth Proportional to 200,673.92, 276,938.49 and 114,647.06

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Solution

The fourth proportional to 200,673.92, 276,938.49 and 114,647.06 is: 158,217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,673.92 : 276,938.49 = 114,647.06 : x
  2. Step 2: Convert to fraction form
    200,673.92/276,938.49 = 114,647.06/x
  3. Step 3: Cross multiply
    200,673.92x = 276,938.49 × 114,647.06
  4. Step 4: Simplify right side
    200,673.92x = 31,750,184,801.61
  5. Step 5: Solve for x
    x = 31,750,184,801.61/200,673.92
  6. Step 6: Final answer
    x = 158,217.79

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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.