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Finding the Fourth Proportional to 200,982.58, 277,359.21 and 110,346.90

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Solution

The fourth proportional to 200,982.58, 277,359.21 and 110,346.90 is: 152,280.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,982.58 : 277,359.21 = 110,346.90 : x
  2. Step 2: Convert to fraction form
    200,982.58/277,359.21 = 110,346.90/x
  3. Step 3: Cross multiply
    200,982.58x = 277,359.21 × 110,346.90
  4. Step 4: Simplify right side
    200,982.58x = 30,605,729,009.95
  5. Step 5: Solve for x
    x = 30,605,729,009.95/200,982.58
  6. Step 6: Final answer
    x = 152,280.51

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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.