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Finding the Fourth Proportional to 231,214.50, 346,821.84 and 65,002.50

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Solution

The fourth proportional to 231,214.50, 346,821.84 and 65,002.50 is: 97,503.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,214.50 : 346,821.84 = 65,002.50 : x
  2. Step 2: Convert to fraction form
    231,214.50/346,821.84 = 65,002.50/x
  3. Step 3: Cross multiply
    231,214.50x = 346,821.84 × 65,002.50
  4. Step 4: Simplify right side
    231,214.50x = 22,544,286,654.60
  5. Step 5: Solve for x
    x = 22,544,286,654.60/231,214.50
  6. Step 6: Final answer
    x = 97,503.78

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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.