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Finding the Fourth Proportional to 200,494.78, 276,691.95 and 114,477.03

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Solution

The fourth proportional to 200,494.78, 276,691.95 and 114,477.03 is: 157,983.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,494.78 : 276,691.95 = 114,477.03 : x
  2. Step 2: Convert to fraction form
    200,494.78/276,691.95 = 114,477.03/x
  3. Step 3: Cross multiply
    200,494.78x = 276,691.95 × 114,477.03
  4. Step 4: Simplify right side
    200,494.78x = 31,674,872,660.91
  5. Step 5: Solve for x
    x = 31,674,872,660.91/200,494.78
  6. Step 6: Final answer
    x = 157,983.53

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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.