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Finding the Fourth Proportional to 211,419, 317,128.50 and 63,675

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Solution

The fourth proportional to 211,419, 317,128.50 and 63,675 is: 95,512.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,419 : 317,128.50 = 63,675 : x
  2. Step 2: Convert to fraction form
    211,419/317,128.50 = 63,675/x
  3. Step 3: Cross multiply
    211,419x = 317,128.50 × 63,675
  4. Step 4: Simplify right side
    211,419x = 20,193,157,237.50
  5. Step 5: Solve for x
    x = 20,193,157,237.50/211,419
  6. Step 6: Final answer
    x = 95,512.50

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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.