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Finding the Fourth Proportional to 201,914.88, 278,632.56 and 117,059.52

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Solution

The fourth proportional to 201,914.88, 278,632.56 and 117,059.52 is: 161,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914.88 : 278,632.56 = 117,059.52 : x
  2. Step 2: Convert to fraction form
    201,914.88/278,632.56 = 117,059.52/x
  3. Step 3: Cross multiply
    201,914.88x = 278,632.56 × 117,059.52
  4. Step 4: Simplify right side
    201,914.88x = 32,616,593,729.97
  5. Step 5: Solve for x
    x = 32,616,593,729.97/201,914.88
  6. Step 6: Final answer
    x = 161,536.35

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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.