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Finding the Fourth Proportional to 201,305.27, 277,690.41 and 127,582.85

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Solution

The fourth proportional to 201,305.27, 277,690.41 and 127,582.85 is: 175,994.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,305.27 : 277,690.41 = 127,582.85 : x
  2. Step 2: Convert to fraction form
    201,305.27/277,690.41 = 127,582.85/x
  3. Step 3: Cross multiply
    201,305.27x = 277,690.41 × 127,582.85
  4. Step 4: Simplify right side
    201,305.27x = 35,428,533,057.69
  5. Step 5: Solve for x
    x = 35,428,533,057.69/201,305.27
  6. Step 6: Final answer
    x = 175,994.07

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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.