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Finding the Fourth Proportional to 201,418.30, 277,935.46 and 116,519.50

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Solution

The fourth proportional to 201,418.30, 277,935.46 and 116,519.50 is: 160,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,418.30 : 277,935.46 = 116,519.50 : x
  2. Step 2: Convert to fraction form
    201,418.30/277,935.46 = 116,519.50/x
  3. Step 3: Cross multiply
    201,418.30x = 277,935.46 × 116,519.50
  4. Step 4: Simplify right side
    201,418.30x = 32,384,900,831.47
  5. Step 5: Solve for x
    x = 32,384,900,831.47/201,418.30
  6. Step 6: Final answer
    x = 160,784.30

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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.