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Finding the Fourth Proportional to 200,549.60, 276,723.36 and 114,469.28

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Solution

The fourth proportional to 200,549.60, 276,723.36 and 114,469.28 is: 157,947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,549.60 : 276,723.36 = 114,469.28 : x
  2. Step 2: Convert to fraction form
    200,549.60/276,723.36 = 114,469.28/x
  3. Step 3: Cross multiply
    200,549.60x = 276,723.36 × 114,469.28
  4. Step 4: Simplify right side
    200,549.60x = 31,676,323,778.38
  5. Step 5: Solve for x
    x = 31,676,323,778.38/200,549.60
  6. Step 6: Final answer
    x = 157,947.58

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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.