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Finding the Fourth Proportional to 200,914.07, 277,274.16 and 132,811.57

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Solution

The fourth proportional to 200,914.07, 277,274.16 and 132,811.57 is: 183,288.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,914.07 : 277,274.16 = 132,811.57 : x
  2. Step 2: Convert to fraction form
    200,914.07/277,274.16 = 132,811.57/x
  3. Step 3: Cross multiply
    200,914.07x = 277,274.16 × 132,811.57
  4. Step 4: Simplify right side
    200,914.07x = 36,825,218,009.99
  5. Step 5: Solve for x
    x = 36,825,218,009.99/200,914.07
  6. Step 6: Final answer
    x = 183,288.40

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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.