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Finding the Fourth Proportional to 218,045.82, 327,070.10 and 68,274.60

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Solution

The fourth proportional to 218,045.82, 327,070.10 and 68,274.60 is: 102,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,045.82 : 327,070.10 = 68,274.60 : x
  2. Step 2: Convert to fraction form
    218,045.82/327,070.10 = 68,274.60/x
  3. Step 3: Cross multiply
    218,045.82x = 327,070.10 × 68,274.60
  4. Step 4: Simplify right side
    218,045.82x = 22,330,579,193.63
  5. Step 5: Solve for x
    x = 22,330,579,193.63/218,045.82
  6. Step 6: Final answer
    x = 102,412.32

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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.