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Finding the Fourth Proportional to 201,288.96, 277,732.80 and 116,390.88

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Solution

The fourth proportional to 201,288.96, 277,732.80 and 116,390.88 is: 160,592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,288.96 : 277,732.80 = 116,390.88 : x
  2. Step 2: Convert to fraction form
    201,288.96/277,732.80 = 116,390.88/x
  3. Step 3: Cross multiply
    201,288.96x = 277,732.80 × 116,390.88
  4. Step 4: Simplify right side
    201,288.96x = 32,325,564,996.86
  5. Step 5: Solve for x
    x = 32,325,564,996.86/201,288.96
  6. Step 6: Final answer
    x = 160,592.84

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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.