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Finding the Fourth Proportional to 231,473.08, 347,221.50 and 65,274.04

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Solution

The fourth proportional to 231,473.08, 347,221.50 and 65,274.04 is: 97,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,473.08 : 347,221.50 = 65,274.04 : x
  2. Step 2: Convert to fraction form
    231,473.08/347,221.50 = 65,274.04/x
  3. Step 3: Cross multiply
    231,473.08x = 347,221.50 × 65,274.04
  4. Step 4: Simplify right side
    231,473.08x = 22,664,550,079.86
  5. Step 5: Solve for x
    x = 22,664,550,079.86/231,473.08
  6. Step 6: Final answer
    x = 97,914.41

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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.