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Finding the Fourth Proportional to 200,590.92, 276,804.54 and 109,947.06

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Solution

The fourth proportional to 200,590.92, 276,804.54 and 109,947.06 is: 151,720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,590.92 : 276,804.54 = 109,947.06 : x
  2. Step 2: Convert to fraction form
    200,590.92/276,804.54 = 109,947.06/x
  3. Step 3: Cross multiply
    200,590.92x = 276,804.54 × 109,947.06
  4. Step 4: Simplify right side
    200,590.92x = 30,433,845,367.65
  5. Step 5: Solve for x
    x = 30,433,845,367.65/200,590.92
  6. Step 6: Final answer
    x = 151,720.95

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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.