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Finding the Fourth Proportional to 211,756.75, 317,635.13 and 64,012.75

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Solution

The fourth proportional to 211,756.75, 317,635.13 and 64,012.75 is: 96,019.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,756.75 : 317,635.13 = 64,012.75 : x
  2. Step 2: Convert to fraction form
    211,756.75/317,635.13 = 64,012.75/x
  3. Step 3: Cross multiply
    211,756.75x = 317,635.13 × 64,012.75
  4. Step 4: Simplify right side
    211,756.75x = 20,332,698,167.91
  5. Step 5: Solve for x
    x = 20,332,698,167.91/211,756.75
  6. Step 6: Final answer
    x = 96,019.13

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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.