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Finding the Fourth Proportional to 200,225.06, 276,379.72 and 115,375.94

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Solution

The fourth proportional to 200,225.06, 276,379.72 and 115,375.94 is: 159,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,225.06 : 276,379.72 = 115,375.94 : x
  2. Step 2: Convert to fraction form
    200,225.06/276,379.72 = 115,375.94/x
  3. Step 3: Cross multiply
    200,225.06x = 276,379.72 × 115,375.94
  4. Step 4: Simplify right side
    200,225.06x = 31,887,569,991.94
  5. Step 5: Solve for x
    x = 31,887,569,991.94/200,225.06
  6. Step 6: Final answer
    x = 159,258.64

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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.