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Finding the Fourth Proportional to 201,422.30, 277,940.98 and 116,523.50

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Solution

The fourth proportional to 201,422.30, 277,940.98 and 116,523.50 is: 160,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,422.30 : 277,940.98 = 116,523.50 : x
  2. Step 2: Convert to fraction form
    201,422.30/277,940.98 = 116,523.50/x
  3. Step 3: Cross multiply
    201,422.30x = 277,940.98 × 116,523.50
  4. Step 4: Simplify right side
    201,422.30x = 32,386,655,783.03
  5. Step 5: Solve for x
    x = 32,386,655,783.03/201,422.30
  6. Step 6: Final answer
    x = 160,789.82

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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.