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Finding the Fourth Proportional to 200,361.13, 276,498.36 and 115,483.66

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Solution

The fourth proportional to 200,361.13, 276,498.36 and 115,483.66 is: 159,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,361.13 : 276,498.36 = 115,483.66 : x
  2. Step 2: Convert to fraction form
    200,361.13/276,498.36 = 115,483.66/x
  3. Step 3: Cross multiply
    200,361.13x = 276,498.36 × 115,483.66
  4. Step 4: Simplify right side
    200,361.13x = 31,931,042,596.80
  5. Step 5: Solve for x
    x = 31,931,042,596.80/200,361.13
  6. Step 6: Final answer
    x = 159,367.45

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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.