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Finding the Fourth Proportional to 214,966.84, 322,451.01 and 65,208.42

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Solution

The fourth proportional to 214,966.84, 322,451.01 and 65,208.42 is: 97,812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,966.84 : 322,451.01 = 65,208.42 : x
  2. Step 2: Convert to fraction form
    214,966.84/322,451.01 = 65,208.42/x
  3. Step 3: Cross multiply
    214,966.84x = 322,451.01 × 65,208.42
  4. Step 4: Simplify right side
    214,966.84x = 21,026,520,889.50
  5. Step 5: Solve for x
    x = 21,026,520,889.50/214,966.84
  6. Step 6: Final answer
    x = 97,812.86

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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.