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Finding the Fourth Proportional to 214,836.59, 322,271.30 and 65,089.29

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Solution

The fourth proportional to 214,836.59, 322,271.30 and 65,089.29 is: 97,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,836.59 : 322,271.30 = 65,089.29 : x
  2. Step 2: Convert to fraction form
    214,836.59/322,271.30 = 65,089.29/x
  3. Step 3: Cross multiply
    214,836.59x = 322,271.30 × 65,089.29
  4. Step 4: Simplify right side
    214,836.59x = 20,976,409,778.93
  5. Step 5: Solve for x
    x = 20,976,409,778.93/214,836.59
  6. Step 6: Final answer
    x = 97,638.91

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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.