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Finding the Fourth Proportional to 200,710.75, 276,980.55 and 115,827.82

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Solution

The fourth proportional to 200,710.75, 276,980.55 and 115,827.82 is: 159,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,710.75 : 276,980.55 = 115,827.82 : x
  2. Step 2: Convert to fraction form
    200,710.75/276,980.55 = 115,827.82/x
  3. Step 3: Cross multiply
    200,710.75x = 276,980.55 × 115,827.82
  4. Step 4: Simplify right side
    200,710.75x = 32,082,053,288.90
  5. Step 5: Solve for x
    x = 32,082,053,288.90/200,710.75
  6. Step 6: Final answer
    x = 159,842.23

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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.