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Finding the Fourth Proportional to 214,300.66, 321,347.12 and 64,513.04

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Solution

The fourth proportional to 214,300.66, 321,347.12 and 64,513.04 is: 96,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,300.66 : 321,347.12 = 64,513.04 : x
  2. Step 2: Convert to fraction form
    214,300.66/321,347.12 = 64,513.04/x
  3. Step 3: Cross multiply
    214,300.66x = 321,347.12 × 64,513.04
  4. Step 4: Simplify right side
    214,300.66x = 20,731,079,606.44
  5. Step 5: Solve for x
    x = 20,731,079,606.44/214,300.66
  6. Step 6: Final answer
    x = 96,738.29

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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.