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Finding the Fourth Proportional to 200,274.98, 276,360.57 and 119,686.46

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Solution

The fourth proportional to 200,274.98, 276,360.57 and 119,686.46 is: 165,156.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,274.98 : 276,360.57 = 119,686.46 : x
  2. Step 2: Convert to fraction form
    200,274.98/276,360.57 = 119,686.46/x
  3. Step 3: Cross multiply
    200,274.98x = 276,360.57 × 119,686.46
  4. Step 4: Simplify right side
    200,274.98x = 33,076,618,306.88
  5. Step 5: Solve for x
    x = 33,076,618,306.88/200,274.98
  6. Step 6: Final answer
    x = 165,156.02

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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.