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Finding the Fourth Proportional to 214,609.99, 321,966.27 and 64,851.78

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Solution

The fourth proportional to 214,609.99, 321,966.27 and 64,851.78 is: 97,293.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,609.99 : 321,966.27 = 64,851.78 : x
  2. Step 2: Convert to fraction form
    214,609.99/321,966.27 = 64,851.78/x
  3. Step 3: Cross multiply
    214,609.99x = 321,966.27 × 64,851.78
  4. Step 4: Simplify right side
    214,609.99x = 20,880,085,709.46
  5. Step 5: Solve for x
    x = 20,880,085,709.46/214,609.99
  6. Step 6: Final answer
    x = 97,293.17

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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.