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Finding the Fourth Proportional to 217,256.76, 325,975.14 and 117,299.48

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Solution

The fourth proportional to 217,256.76, 325,975.14 and 117,299.48 is: 175,997.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,256.76 : 325,975.14 = 117,299.48 : x
  2. Step 2: Convert to fraction form
    217,256.76/325,975.14 = 117,299.48/x
  3. Step 3: Cross multiply
    217,256.76x = 325,975.14 × 117,299.48
  4. Step 4: Simplify right side
    217,256.76x = 38,236,712,785.05
  5. Step 5: Solve for x
    x = 38,236,712,785.05/217,256.76
  6. Step 6: Final answer
    x = 175,997.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.