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Finding the Fourth Proportional to 211,709.09, 317,530.76 and 61,914.17

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Solution

The fourth proportional to 211,709.09, 317,530.76 and 61,914.17 is: 92,861.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,709.09 : 317,530.76 = 61,914.17 : x
  2. Step 2: Convert to fraction form
    211,709.09/317,530.76 = 61,914.17/x
  3. Step 3: Cross multiply
    211,709.09x = 317,530.76 × 61,914.17
  4. Step 4: Simplify right side
    211,709.09x = 19,659,651,557.64
  5. Step 5: Solve for x
    x = 19,659,651,557.64/211,709.09
  6. Step 6: Final answer
    x = 92,861.63

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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.