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Finding the Fourth Proportional to 200,212.71, 276,173.41 and 132,229.81

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Solution

The fourth proportional to 200,212.71, 276,173.41 and 132,229.81 is: 182,397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,212.71 : 276,173.41 = 132,229.81 : x
  2. Step 2: Convert to fraction form
    200,212.71/276,173.41 = 132,229.81/x
  3. Step 3: Cross multiply
    200,212.71x = 276,173.41 × 132,229.81
  4. Step 4: Simplify right side
    200,212.71x = 36,518,357,531.35
  5. Step 5: Solve for x
    x = 36,518,357,531.35/200,212.71
  6. Step 6: Final answer
    x = 182,397.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.