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Finding the Fourth Proportional to 317,196.14, 475,785.09 and 117,512.10

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Solution

The fourth proportional to 317,196.14, 475,785.09 and 117,512.10 is: 176,264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,196.14 : 475,785.09 = 117,512.10 : x
  2. Step 2: Convert to fraction form
    317,196.14/475,785.09 = 117,512.10/x
  3. Step 3: Cross multiply
    317,196.14x = 475,785.09 × 117,512.10
  4. Step 4: Simplify right side
    317,196.14x = 55,910,505,074.59
  5. Step 5: Solve for x
    x = 55,910,505,074.59/317,196.14
  6. Step 6: Final answer
    x = 176,264.77

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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.