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Finding the Fourth Proportional to 200,694.20, 276,970.80 and 132,591.71

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Solution

The fourth proportional to 200,694.20, 276,970.80 and 132,591.71 is: 182,985.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,694.20 : 276,970.80 = 132,591.71 : x
  2. Step 2: Convert to fraction form
    200,694.20/276,970.80 = 132,591.71/x
  3. Step 3: Cross multiply
    200,694.20x = 276,970.80 × 132,591.71
  4. Step 4: Simplify right side
    200,694.20x = 36,724,030,607.21
  5. Step 5: Solve for x
    x = 36,724,030,607.21/200,694.20
  6. Step 6: Final answer
    x = 182,985.01

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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.