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Finding the Fourth Proportional to 201,811.27, 278,500.97 and 115,774.01

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Solution

The fourth proportional to 201,811.27, 278,500.97 and 115,774.01 is: 159,768.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.27 : 278,500.97 = 115,774.01 : x
  2. Step 2: Convert to fraction form
    201,811.27/278,500.97 = 115,774.01/x
  3. Step 3: Cross multiply
    201,811.27x = 278,500.97 × 115,774.01
  4. Step 4: Simplify right side
    201,811.27x = 32,243,172,693.28
  5. Step 5: Solve for x
    x = 32,243,172,693.28/201,811.27
  6. Step 6: Final answer
    x = 159,768.94

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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.