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Finding the Fourth Proportional to 211,636.08, 317,449.98 and 51,713.06

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Solution

The fourth proportional to 211,636.08, 317,449.98 and 51,713.06 is: 77,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,636.08 : 317,449.98 = 51,713.06 : x
  2. Step 2: Convert to fraction form
    211,636.08/317,449.98 = 51,713.06/x
  3. Step 3: Cross multiply
    211,636.08x = 317,449.98 × 51,713.06
  4. Step 4: Simplify right side
    211,636.08x = 16,416,309,862.74
  5. Step 5: Solve for x
    x = 16,416,309,862.74/211,636.08
  6. Step 6: Final answer
    x = 77,568.58

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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.