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Finding the Fourth Proportional to 214,642.05, 321,966.05 and 64,883.58

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Solution

The fourth proportional to 214,642.05, 321,966.05 and 64,883.58 is: 97,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,642.05 : 321,966.05 = 64,883.58 : x
  2. Step 2: Convert to fraction form
    214,642.05/321,966.05 = 64,883.58/x
  3. Step 3: Cross multiply
    214,642.05x = 321,966.05 × 64,883.58
  4. Step 4: Simplify right side
    214,642.05x = 20,890,309,638.04
  5. Step 5: Solve for x
    x = 20,890,309,638.04/214,642.05
  6. Step 6: Final answer
    x = 97,326.27

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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.